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Finding the Fourth Proportional to 475,446.80, 713,203.01 and 138,490.25

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Solution

The fourth proportional to 475,446.80, 713,203.01 and 138,490.25 is: 207,744.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,446.80 : 713,203.01 = 138,490.25 : x
  2. Step 2: Convert to fraction form
    475,446.80/713,203.01 = 138,490.25/x
  3. Step 3: Cross multiply
    475,446.80x = 713,203.01 × 138,490.25
  4. Step 4: Simplify right side
    475,446.80x = 98,771,658,897.19
  5. Step 5: Solve for x
    x = 98,771,658,897.19/475,446.80
  6. Step 6: Final answer
    x = 207,744.93

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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.