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Finding the Fourth Proportional to 657,109.70, 907,221.90 and 503,853.47

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Solution

The fourth proportional to 657,109.70, 907,221.90 and 503,853.47 is: 695,632.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,109.70 : 907,221.90 = 503,853.47 : x
  2. Step 2: Convert to fraction form
    657,109.70/907,221.90 = 503,853.47/x
  3. Step 3: Cross multiply
    657,109.70x = 907,221.90 × 503,853.47
  4. Step 4: Simplify right side
    657,109.70x = 457,106,902,374.99
  5. Step 5: Solve for x
    x = 457,106,902,374.99/657,109.70
  6. Step 6: Final answer
    x = 695,632.56

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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.