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Finding the Fourth Proportional to 478,528.65, 717,792.84 and 141,543

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Solution

The fourth proportional to 478,528.65, 717,792.84 and 141,543 is: 212,314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,528.65 : 717,792.84 = 141,543 : x
  2. Step 2: Convert to fraction form
    478,528.65/717,792.84 = 141,543/x
  3. Step 3: Cross multiply
    478,528.65x = 717,792.84 × 141,543
  4. Step 4: Simplify right side
    478,528.65x = 101,598,551,952.12
  5. Step 5: Solve for x
    x = 101,598,551,952.12/478,528.65
  6. Step 6: Final answer
    x = 212,314.46

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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.