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Finding the Fourth Proportional to 478,507.48, 717,084.15 and 265,369.15

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Solution

The fourth proportional to 478,507.48, 717,084.15 and 265,369.15 is: 397,678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,507.48 : 717,084.15 = 265,369.15 : x
  2. Step 2: Convert to fraction form
    478,507.48/717,084.15 = 265,369.15/x
  3. Step 3: Cross multiply
    478,507.48x = 717,084.15 × 265,369.15
  4. Step 4: Simplify right side
    478,507.48x = 190,292,011,363.97
  5. Step 5: Solve for x
    x = 190,292,011,363.97/478,507.48
  6. Step 6: Final answer
    x = 397,678.24

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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.