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Finding the Fourth Proportional to 657,727.50, 907,664.76 and 355,921.50

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Solution

The fourth proportional to 657,727.50, 907,664.76 and 355,921.50 is: 491,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,727.50 : 907,664.76 = 355,921.50 : x
  2. Step 2: Convert to fraction form
    657,727.50/907,664.76 = 355,921.50/x
  3. Step 3: Cross multiply
    657,727.50x = 907,664.76 × 355,921.50
  4. Step 4: Simplify right side
    657,727.50x = 323,057,402,876.34
  5. Step 5: Solve for x
    x = 323,057,402,876.34/657,727.50
  6. Step 6: Final answer
    x = 491,172.11

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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.