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Finding the Fourth Proportional to 385,308.60, 578,053.14 and 160,815.80

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Solution

The fourth proportional to 385,308.60, 578,053.14 and 160,815.80 is: 241,261.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,308.60 : 578,053.14 = 160,815.80 : x
  2. Step 2: Convert to fraction form
    385,308.60/578,053.14 = 160,815.80/x
  3. Step 3: Cross multiply
    385,308.60x = 578,053.14 × 160,815.80
  4. Step 4: Simplify right side
    385,308.60x = 92,960,078,151.61
  5. Step 5: Solve for x
    x = 92,960,078,151.61/385,308.60
  6. Step 6: Final answer
    x = 241,261.36

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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.