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Finding the Fourth Proportional to 284,314.78, 392,344.12 and 156,987.64

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Solution

The fourth proportional to 284,314.78, 392,344.12 and 156,987.64 is: 216,637.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,314.78 : 392,344.12 = 156,987.64 : x
  2. Step 2: Convert to fraction form
    284,314.78/392,344.12 = 156,987.64/x
  3. Step 3: Cross multiply
    284,314.78x = 392,344.12 × 156,987.64
  4. Step 4: Simplify right side
    284,314.78x = 61,593,177,466.68
  5. Step 5: Solve for x
    x = 61,593,177,466.68/284,314.78
  6. Step 6: Final answer
    x = 216,637.27

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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.