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Finding the Fourth Proportional to 475,388.16, 713,094.72 and 138,415.20

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Solution

The fourth proportional to 475,388.16, 713,094.72 and 138,415.20 is: 207,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,388.16 : 713,094.72 = 138,415.20 : x
  2. Step 2: Convert to fraction form
    475,388.16/713,094.72 = 138,415.20/x
  3. Step 3: Cross multiply
    475,388.16x = 713,094.72 × 138,415.20
  4. Step 4: Simplify right side
    475,388.16x = 98,703,148,287.74
  5. Step 5: Solve for x
    x = 98,703,148,287.74/475,388.16
  6. Step 6: Final answer
    x = 207,626.43

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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.