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Finding the Fourth Proportional to 284,286.52, 392,312.75 and 156,963.02

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Solution

The fourth proportional to 284,286.52, 392,312.75 and 156,963.02 is: 216,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,286.52 : 392,312.75 = 156,963.02 : x
  2. Step 2: Convert to fraction form
    284,286.52/392,312.75 = 156,963.02/x
  3. Step 3: Cross multiply
    284,286.52x = 392,312.75 × 156,963.02
  4. Step 4: Simplify right side
    284,286.52x = 61,578,594,024.51
  5. Step 5: Solve for x
    x = 61,578,594,024.51/284,286.52
  6. Step 6: Final answer
    x = 216,607.51

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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.