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Finding the Fourth Proportional to 385,722.36, 578,675.91 and 160,957.76

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Solution

The fourth proportional to 385,722.36, 578,675.91 and 160,957.76 is: 241,475.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,722.36 : 578,675.91 = 160,957.76 : x
  2. Step 2: Convert to fraction form
    385,722.36/578,675.91 = 160,957.76/x
  3. Step 3: Cross multiply
    385,722.36x = 578,675.91 × 160,957.76
  4. Step 4: Simplify right side
    385,722.36x = 93,142,380,289.84
  5. Step 5: Solve for x
    x = 93,142,380,289.84/385,722.36
  6. Step 6: Final answer
    x = 241,475.19

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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.