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Finding the Fourth Proportional to 478,492.64, 717,738.94 and 141,507.04

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Solution

The fourth proportional to 478,492.64, 717,738.94 and 141,507.04 is: 212,260.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,492.64 : 717,738.94 = 141,507.04 : x
  2. Step 2: Convert to fraction form
    478,492.64/717,738.94 = 141,507.04/x
  3. Step 3: Cross multiply
    478,492.64x = 717,738.94 × 141,507.04
  4. Step 4: Simplify right side
    478,492.64x = 101,565,112,892.14
  5. Step 5: Solve for x
    x = 101,565,112,892.14/478,492.64
  6. Step 6: Final answer
    x = 212,260.55

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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.