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Finding the Fourth Proportional to 284,256.82, 392,281.02 and 156,934.96

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Solution

The fourth proportional to 284,256.82, 392,281.02 and 156,934.96 is: 216,573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,256.82 : 392,281.02 = 156,934.96 : x
  2. Step 2: Convert to fraction form
    284,256.82/392,281.02 = 156,934.96/x
  3. Step 3: Cross multiply
    284,256.82x = 392,281.02 × 156,934.96
  4. Step 4: Simplify right side
    284,256.82x = 61,562,606,182.46
  5. Step 5: Solve for x
    x = 61,562,606,182.46/284,256.82
  6. Step 6: Final answer
    x = 216,573.89

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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.