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Finding the Fourth Proportional to 478,023.84, 717,052.91 and 162,439.74

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Solution

The fourth proportional to 478,023.84, 717,052.91 and 162,439.74 is: 243,665.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,023.84 : 717,052.91 = 162,439.74 : x
  2. Step 2: Convert to fraction form
    478,023.84/717,052.91 = 162,439.74/x
  3. Step 3: Cross multiply
    478,023.84x = 717,052.91 × 162,439.74
  4. Step 4: Simplify right side
    478,023.84x = 116,477,887,454.45
  5. Step 5: Solve for x
    x = 116,477,887,454.45/478,023.84
  6. Step 6: Final answer
    x = 243,665.44

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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.