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Finding the Fourth Proportional to 284,714.32, 392,885.97 and 157,379.89

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Solution

The fourth proportional to 284,714.32, 392,885.97 and 157,379.89 is: 217,173.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,714.32 : 392,885.97 = 157,379.89 : x
  2. Step 2: Convert to fraction form
    284,714.32/392,885.97 = 157,379.89/x
  3. Step 3: Cross multiply
    284,714.32x = 392,885.97 × 157,379.89
  4. Step 4: Simplify right side
    284,714.32x = 61,832,350,741.14
  5. Step 5: Solve for x
    x = 61,832,350,741.14/284,714.32
  6. Step 6: Final answer
    x = 217,173.31

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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.