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Finding the Fourth Proportional to 284,411.89, 426,688.02 and 84,731.50

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Solution

The fourth proportional to 284,411.89, 426,688.02 and 84,731.50 is: 127,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,411.89 : 426,688.02 = 84,731.50 : x
  2. Step 2: Convert to fraction form
    284,411.89/426,688.02 = 84,731.50/x
  3. Step 3: Cross multiply
    284,411.89x = 426,688.02 × 84,731.50
  4. Step 4: Simplify right side
    284,411.89x = 36,153,915,966.63
  5. Step 5: Solve for x
    x = 36,153,915,966.63/284,411.89
  6. Step 6: Final answer
    x = 127,118.16

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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.