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Finding the Fourth Proportional to 1,253,259,605.04, 1,729,394,302.68 and 688,714,802.16

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Solution

The fourth proportional to 1,253,259,605.04, 1,729,394,302.68 and 688,714,802.16 is: 950,369,301.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253,259,605.04 : 1,729,394,302.68 = 688,714,802.16 : x
  2. Step 2: Convert to fraction form
    1,253,259,605.04/1,729,394,302.68 = 688,714,802.16/x
  3. Step 3: Cross multiply
    1,253,259,605.04x = 1,729,394,302.68 × 688,714,802.16
  4. Step 4: Simplify right side
    1,253,259,605.04x = 1,191,059,455,026,887,424
  5. Step 5: Solve for x
    x = 1,191,059,455,026,887,424/1,253,259,605.04
  6. Step 6: Final answer
    x = 950,369,301.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.