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Finding the Fourth Proportional to 657,802.13, 907,767 and 355,996.13

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Solution

The fourth proportional to 657,802.13, 907,767 and 355,996.13 is: 491,274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,802.13 : 907,767 = 355,996.13 : x
  2. Step 2: Convert to fraction form
    657,802.13/907,767 = 355,996.13/x
  3. Step 3: Cross multiply
    657,802.13x = 907,767 × 355,996.13
  4. Step 4: Simplify right side
    657,802.13x = 323,161,534,402.88
  5. Step 5: Solve for x
    x = 323,161,534,402.88/657,802.13
  6. Step 6: Final answer
    x = 491,274.69

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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.