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Finding the Fourth Proportional to 284,768.28, 427,411.14 and 151,762.20

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Solution

The fourth proportional to 284,768.28, 427,411.14 and 151,762.20 is: 227,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,768.28 : 427,411.14 = 151,762.20 : x
  2. Step 2: Convert to fraction form
    284,768.28/427,411.14 = 151,762.20/x
  3. Step 3: Cross multiply
    284,768.28x = 427,411.14 × 151,762.20
  4. Step 4: Simplify right side
    284,768.28x = 64,864,854,910.91
  5. Step 5: Solve for x
    x = 64,864,854,910.91/284,768.28
  6. Step 6: Final answer
    x = 227,781.18

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1.5x scale

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.