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Finding the Fourth Proportional to 498,355.70, 747,533.55 and 478,672.70

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Solution

The fourth proportional to 498,355.70, 747,533.55 and 478,672.70 is: 718,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,355.70 : 747,533.55 = 478,672.70 : x
  2. Step 2: Convert to fraction form
    498,355.70/747,533.55 = 478,672.70/x
  3. Step 3: Cross multiply
    498,355.70x = 747,533.55 × 478,672.70
  4. Step 4: Simplify right side
    498,355.70x = 357,823,902,719.09
  5. Step 5: Solve for x
    x = 357,823,902,719.09/498,355.70
  6. Step 6: Final answer
    x = 718,009.05

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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.