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Finding the Fourth Proportional to 478,439.48, 717,724.84 and 141,506.64

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Solution

The fourth proportional to 478,439.48, 717,724.84 and 141,506.64 is: 212,279.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,439.48 : 717,724.84 = 141,506.64 : x
  2. Step 2: Convert to fraction form
    478,439.48/717,724.84 = 141,506.64/x
  3. Step 3: Cross multiply
    478,439.48x = 717,724.84 × 141,506.64
  4. Step 4: Simplify right side
    478,439.48x = 101,562,830,552.94
  5. Step 5: Solve for x
    x = 101,562,830,552.94/478,439.48
  6. Step 6: Final answer
    x = 212,279.37

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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.