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Finding the Fourth Proportional to 284,002.84, 391,925.24 and 156,678.40

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Solution

The fourth proportional to 284,002.84, 391,925.24 and 156,678.40 is: 216,216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,002.84 : 391,925.24 = 156,678.40 : x
  2. Step 2: Convert to fraction form
    284,002.84/391,925.24 = 156,678.40/x
  3. Step 3: Cross multiply
    284,002.84x = 391,925.24 × 156,678.40
  4. Step 4: Simplify right side
    284,002.84x = 61,406,219,522.82
  5. Step 5: Solve for x
    x = 61,406,219,522.82/284,002.84
  6. Step 6: Final answer
    x = 216,216.92

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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.