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Finding the Fourth Proportional to 385,419.20, 578,128.80 and 243,701.60

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Solution

The fourth proportional to 385,419.20, 578,128.80 and 243,701.60 is: 365,552.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,419.20 : 578,128.80 = 243,701.60 : x
  2. Step 2: Convert to fraction form
    385,419.20/578,128.80 = 243,701.60/x
  3. Step 3: Cross multiply
    385,419.20x = 578,128.80 × 243,701.60
  4. Step 4: Simplify right side
    385,419.20x = 140,890,913,566.08
  5. Step 5: Solve for x
    x = 140,890,913,566.08/385,419.20
  6. Step 6: Final answer
    x = 365,552.40

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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.