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Finding the Fourth Proportional to 308,590.24, 462,876.40 and 98,240.80

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Solution

The fourth proportional to 308,590.24, 462,876.40 and 98,240.80 is: 147,358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,590.24 : 462,876.40 = 98,240.80 : x
  2. Step 2: Convert to fraction form
    308,590.24/462,876.40 = 98,240.80/x
  3. Step 3: Cross multiply
    308,590.24x = 462,876.40 × 98,240.80
  4. Step 4: Simplify right side
    308,590.24x = 45,473,347,837.12
  5. Step 5: Solve for x
    x = 45,473,347,837.12/308,590.24
  6. Step 6: Final answer
    x = 147,358.35

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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.