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Finding the Fourth Proportional to 385,312.60, 578,059.14 and 160,819.80

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Solution

The fourth proportional to 385,312.60, 578,059.14 and 160,819.80 is: 241,267.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,312.60 : 578,059.14 = 160,819.80 : x
  2. Step 2: Convert to fraction form
    385,312.60/578,059.14 = 160,819.80/x
  3. Step 3: Cross multiply
    385,312.60x = 578,059.14 × 160,819.80
  4. Step 4: Simplify right side
    385,312.60x = 92,963,355,282.97
  5. Step 5: Solve for x
    x = 92,963,355,282.97/385,312.60
  6. Step 6: Final answer
    x = 241,267.36

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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.