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Finding the Fourth Proportional to 403,140.80, 604,711.20 and 136,971.20

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Solution

The fourth proportional to 403,140.80, 604,711.20 and 136,971.20 is: 205,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,140.80 : 604,711.20 = 136,971.20 : x
  2. Step 2: Convert to fraction form
    403,140.80/604,711.20 = 136,971.20/x
  3. Step 3: Cross multiply
    403,140.80x = 604,711.20 × 136,971.20
  4. Step 4: Simplify right side
    403,140.80x = 82,828,018,717.44
  5. Step 5: Solve for x
    x = 82,828,018,717.44/403,140.80
  6. Step 6: Final answer
    x = 205,456.80

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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.