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Finding the Fourth Proportional to 563,862, 778,058.04 and 309,146.16

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Solution

The fourth proportional to 563,862, 778,058.04 and 309,146.16 is: 426,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,862 : 778,058.04 = 309,146.16 : x
  2. Step 2: Convert to fraction form
    563,862/778,058.04 = 309,146.16/x
  3. Step 3: Cross multiply
    563,862x = 778,058.04 × 309,146.16
  4. Step 4: Simplify right side
    563,862x = 240,533,655,323.13
  5. Step 5: Solve for x
    x = 240,533,655,323.13/563,862
  6. Step 6: Final answer
    x = 426,582.49

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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.