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Finding the Fourth Proportional to 292,384.91, 438,689.55 and 102,864.96

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Solution

The fourth proportional to 292,384.91, 438,689.55 and 102,864.96 is: 154,336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,384.91 : 438,689.55 = 102,864.96 : x
  2. Step 2: Convert to fraction form
    292,384.91/438,689.55 = 102,864.96/x
  3. Step 3: Cross multiply
    292,384.91x = 438,689.55 × 102,864.96
  4. Step 4: Simplify right side
    292,384.91x = 45,125,783,013.17
  5. Step 5: Solve for x
    x = 45,125,783,013.17/292,384.91
  6. Step 6: Final answer
    x = 154,336.91

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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.