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Finding the Fourth Proportional to 385,742.96, 578,706.12 and 160,978.52

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Solution

The fourth proportional to 385,742.96, 578,706.12 and 160,978.52 is: 241,506.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,742.96 : 578,706.12 = 160,978.52 : x
  2. Step 2: Convert to fraction form
    385,742.96/578,706.12 = 160,978.52/x
  3. Step 3: Cross multiply
    385,742.96x = 578,706.12 × 160,978.52
  4. Step 4: Simplify right side
    385,742.96x = 93,159,254,712.54
  5. Step 5: Solve for x
    x = 93,159,254,712.54/385,742.96
  6. Step 6: Final answer
    x = 241,506.04

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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.