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Finding the Fourth Proportional to 402,726.30, 604,047.87 and 136,479.93

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Solution

The fourth proportional to 402,726.30, 604,047.87 and 136,479.93 is: 204,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,726.30 : 604,047.87 = 136,479.93 : x
  2. Step 2: Convert to fraction form
    402,726.30/604,047.87 = 136,479.93/x
  3. Step 3: Cross multiply
    402,726.30x = 604,047.87 × 136,479.93
  4. Step 4: Simplify right side
    402,726.30x = 82,440,411,014.25
  5. Step 5: Solve for x
    x = 82,440,411,014.25/402,726.30
  6. Step 6: Final answer
    x = 204,705.80

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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.