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Finding the Fourth Proportional to 498,349.83, 747,498.54 and 143,349.93

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Solution

The fourth proportional to 498,349.83, 747,498.54 and 143,349.93 is: 215,017.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,349.83 : 747,498.54 = 143,349.93 : x
  2. Step 2: Convert to fraction form
    498,349.83/747,498.54 = 143,349.93/x
  3. Step 3: Cross multiply
    498,349.83x = 747,498.54 × 143,349.93
  4. Step 4: Simplify right side
    498,349.83x = 107,153,863,384.10
  5. Step 5: Solve for x
    x = 107,153,863,384.10/498,349.83
  6. Step 6: Final answer
    x = 215,017.36

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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.