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Finding the Fourth Proportional to 402,658.92, 604,015.56 and 136,328.52

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Solution

The fourth proportional to 402,658.92, 604,015.56 and 136,328.52 is: 204,501.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,658.92 : 604,015.56 = 136,328.52 : x
  2. Step 2: Convert to fraction form
    402,658.92/604,015.56 = 136,328.52/x
  3. Step 3: Cross multiply
    402,658.92x = 604,015.56 × 136,328.52
  4. Step 4: Simplify right side
    402,658.92x = 82,344,547,351.77
  5. Step 5: Solve for x
    x = 82,344,547,351.77/402,658.92
  6. Step 6: Final answer
    x = 204,501.98

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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.