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Finding the Fourth Proportional to 284,302.98, 392,341.05 and 156,978.27

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Solution

The fourth proportional to 284,302.98, 392,341.05 and 156,978.27 is: 216,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,302.98 : 392,341.05 = 156,978.27 : x
  2. Step 2: Convert to fraction form
    284,302.98/392,341.05 = 156,978.27/x
  3. Step 3: Cross multiply
    284,302.98x = 392,341.05 × 156,978.27
  4. Step 4: Simplify right side
    284,302.98x = 61,589,019,278.98
  5. Step 5: Solve for x
    x = 61,589,019,278.98/284,302.98
  6. Step 6: Final answer
    x = 216,631.63

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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.