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Finding the Fourth Proportional to 657,275.86, 907,041.29 and 355,469.86

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Solution

The fourth proportional to 657,275.86, 907,041.29 and 355,469.86 is: 490,548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,275.86 : 907,041.29 = 355,469.86 : x
  2. Step 2: Convert to fraction form
    657,275.86/907,041.29 = 355,469.86/x
  3. Step 3: Cross multiply
    657,275.86x = 907,041.29 × 355,469.86
  4. Step 4: Simplify right side
    657,275.86x = 322,425,834,057.96
  5. Step 5: Solve for x
    x = 322,425,834,057.96/657,275.86
  6. Step 6: Final answer
    x = 490,548.73

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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.