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Finding the Fourth Proportional to 284,262.52, 392,282.86 and 156,938.36

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Solution

The fourth proportional to 284,262.52, 392,282.86 and 156,938.36 is: 216,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,262.52 : 392,282.86 = 156,938.36 : x
  2. Step 2: Convert to fraction form
    284,262.52/392,282.86 = 156,938.36/x
  3. Step 3: Cross multiply
    284,262.52x = 392,282.86 × 156,938.36
  4. Step 4: Simplify right side
    284,262.52x = 61,564,228,704.51
  5. Step 5: Solve for x
    x = 61,564,228,704.51/284,262.52
  6. Step 6: Final answer
    x = 216,575.26

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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.