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Finding the Fourth Proportional to 284,007.82, 391,932.12 and 156,683.38

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Solution

The fourth proportional to 284,007.82, 391,932.12 and 156,683.38 is: 216,223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,007.82 : 391,932.12 = 156,683.38 : x
  2. Step 2: Convert to fraction form
    284,007.82/391,932.12 = 156,683.38/x
  3. Step 3: Cross multiply
    284,007.82x = 391,932.12 × 156,683.38
  4. Step 4: Simplify right side
    284,007.82x = 61,409,249,292.17
  5. Step 5: Solve for x
    x = 61,409,249,292.17/284,007.82
  6. Step 6: Final answer
    x = 216,223.80

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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.