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Finding the Fourth Proportional to 284,139.34, 392,112.66 and 156,814.54

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Solution

The fourth proportional to 284,139.34, 392,112.66 and 156,814.54 is: 216,404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,139.34 : 392,112.66 = 156,814.54 : x
  2. Step 2: Convert to fraction form
    284,139.34/392,112.66 = 156,814.54/x
  3. Step 3: Cross multiply
    284,139.34x = 392,112.66 × 156,814.54
  4. Step 4: Simplify right side
    284,139.34x = 61,488,966,406.08
  5. Step 5: Solve for x
    x = 61,488,966,406.08/284,139.34
  6. Step 6: Final answer
    x = 216,404.27

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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.