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Finding the Fourth Proportional to 478,438.98, 717,724.08 and 141,506.13

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Solution

The fourth proportional to 478,438.98, 717,724.08 and 141,506.13 is: 212,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,438.98 : 717,724.08 = 141,506.13 : x
  2. Step 2: Convert to fraction form
    478,438.98/717,724.08 = 141,506.13/x
  3. Step 3: Cross multiply
    478,438.98x = 717,724.08 × 141,506.13
  4. Step 4: Simplify right side
    478,438.98x = 101,562,356,968.61
  5. Step 5: Solve for x
    x = 101,562,356,968.61/478,438.98
  6. Step 6: Final answer
    x = 212,278.60

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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.