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Finding the Fourth Proportional to 478,235.32, 717,447.58 and 136,681.82

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Solution

The fourth proportional to 478,235.32, 717,447.58 and 136,681.82 is: 205,049.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,235.32 : 717,447.58 = 136,681.82 : x
  2. Step 2: Convert to fraction form
    478,235.32/717,447.58 = 136,681.82/x
  3. Step 3: Cross multiply
    478,235.32x = 717,447.58 × 136,681.82
  4. Step 4: Simplify right side
    478,235.32x = 98,062,040,989.00
  5. Step 5: Solve for x
    x = 98,062,040,989.00/478,235.32
  6. Step 6: Final answer
    x = 205,049.77

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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.