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Finding the Fourth Proportional to 484,148.80, 724,495.20 and 306,740.80

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Solution

The fourth proportional to 484,148.80, 724,495.20 and 306,740.80 is: 459,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,148.80 : 724,495.20 = 306,740.80 : x
  2. Step 2: Convert to fraction form
    484,148.80/724,495.20 = 306,740.80/x
  3. Step 3: Cross multiply
    484,148.80x = 724,495.20 × 306,740.80
  4. Step 4: Simplify right side
    484,148.80x = 222,232,237,244.16
  5. Step 5: Solve for x
    x = 222,232,237,244.16/484,148.80
  6. Step 6: Final answer
    x = 459,016.40

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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.