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Finding the Fourth Proportional to 478,314.81, 717,560.50 and 197,853.93

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Solution

The fourth proportional to 478,314.81, 717,560.50 and 197,853.93 is: 296,817.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,314.81 : 717,560.50 = 197,853.93 : x
  2. Step 2: Convert to fraction form
    478,314.81/717,560.50 = 197,853.93/x
  3. Step 3: Cross multiply
    478,314.81x = 717,560.50 × 197,853.93
  4. Step 4: Simplify right side
    478,314.81x = 141,972,164,937.77
  5. Step 5: Solve for x
    x = 141,972,164,937.77/478,314.81
  6. Step 6: Final answer
    x = 296,817.41

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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.