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Finding the Fourth Proportional to 286,294.91, 429,439.61 and 174,006.12

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Solution

The fourth proportional to 286,294.91, 429,439.61 and 174,006.12 is: 261,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,294.91 : 429,439.61 = 174,006.12 : x
  2. Step 2: Convert to fraction form
    286,294.91/429,439.61 = 174,006.12/x
  3. Step 3: Cross multiply
    286,294.91x = 429,439.61 × 174,006.12
  4. Step 4: Simplify right side
    286,294.91x = 74,725,119,440.38
  5. Step 5: Solve for x
    x = 74,725,119,440.38/286,294.91
  6. Step 6: Final answer
    x = 261,007.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.