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Finding the Fourth Proportional to 284,056.67, 392,006.39 and 156,740.47

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Solution

The fourth proportional to 284,056.67, 392,006.39 and 156,740.47 is: 216,306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,056.67 : 392,006.39 = 156,740.47 : x
  2. Step 2: Convert to fraction form
    284,056.67/392,006.39 = 156,740.47/x
  3. Step 3: Cross multiply
    284,056.67x = 392,006.39 × 156,740.47
  4. Step 4: Simplify right side
    284,056.67x = 61,443,264,047.89
  5. Step 5: Solve for x
    x = 61,443,264,047.89/284,056.67
  6. Step 6: Final answer
    x = 216,306.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.