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Finding the Fourth Proportional to 478,277.64, 717,534.36 and 141,316.56

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Solution

The fourth proportional to 478,277.64, 717,534.36 and 141,316.56 is: 212,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,277.64 : 717,534.36 = 141,316.56 : x
  2. Step 2: Convert to fraction form
    478,277.64/717,534.36 = 141,316.56/x
  3. Step 3: Cross multiply
    478,277.64x = 717,534.36 × 141,316.56
  4. Step 4: Simplify right side
    478,277.64x = 101,399,487,437.00
  5. Step 5: Solve for x
    x = 101,399,487,437.00/478,277.64
  6. Step 6: Final answer
    x = 212,009.68

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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.