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Finding the Fourth Proportional to 438,428.48, 657,711.53 and 185,709.69

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Solution

The fourth proportional to 438,428.48, 657,711.53 and 185,709.69 is: 278,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,428.48 : 657,711.53 = 185,709.69 : x
  2. Step 2: Convert to fraction form
    438,428.48/657,711.53 = 185,709.69/x
  3. Step 3: Cross multiply
    438,428.48x = 657,711.53 × 185,709.69
  4. Step 4: Simplify right side
    438,428.48x = 122,143,403,417.18
  5. Step 5: Solve for x
    x = 122,143,403,417.18/438,428.48
  6. Step 6: Final answer
    x = 278,593.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.