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Finding the Fourth Proportional to 438,429.24, 657,712.64 and 185,710.46

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Solution

The fourth proportional to 438,429.24, 657,712.64 and 185,710.46 is: 278,594.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,429.24 : 657,712.64 = 185,710.46 : x
  2. Step 2: Convert to fraction form
    438,429.24/657,712.64 = 185,710.46/x
  3. Step 3: Cross multiply
    438,429.24x = 657,712.64 × 185,710.46
  4. Step 4: Simplify right side
    438,429.24x = 122,144,114,097.93
  5. Step 5: Solve for x
    x = 122,144,114,097.93/438,429.24
  6. Step 6: Final answer
    x = 278,594.82

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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.