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Finding the Fourth Proportional to 438,390.69, 657,530.64 and 138,901.65

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Solution

The fourth proportional to 438,390.69, 657,530.64 and 138,901.65 is: 208,334.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,390.69 : 657,530.64 = 138,901.65 : x
  2. Step 2: Convert to fraction form
    438,390.69/657,530.64 = 138,901.65/x
  3. Step 3: Cross multiply
    438,390.69x = 657,530.64 × 138,901.65
  4. Step 4: Simplify right side
    438,390.69x = 91,332,090,821.56
  5. Step 5: Solve for x
    x = 91,332,090,821.56/438,390.69
  6. Step 6: Final answer
    x = 208,334.92

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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.