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Finding the Fourth Proportional to 478,173.48, 717,280.02 and 141,214.20

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Solution

The fourth proportional to 478,173.48, 717,280.02 and 141,214.20 is: 211,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,173.48 : 717,280.02 = 141,214.20 : x
  2. Step 2: Convert to fraction form
    478,173.48/717,280.02 = 141,214.20/x
  3. Step 3: Cross multiply
    478,173.48x = 717,280.02 × 141,214.20
  4. Step 4: Simplify right side
    478,173.48x = 101,290,124,200.28
  5. Step 5: Solve for x
    x = 101,290,124,200.28/478,173.48
  6. Step 6: Final answer
    x = 211,827.15

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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.