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Finding the Fourth Proportional to 483,042.40, 724,693.20 and 430,813.60

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Solution

The fourth proportional to 483,042.40, 724,693.20 and 430,813.60 is: 646,335.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,042.40 : 724,693.20 = 430,813.60 : x
  2. Step 2: Convert to fraction form
    483,042.40/724,693.20 = 430,813.60/x
  3. Step 3: Cross multiply
    483,042.40x = 724,693.20 × 430,813.60
  4. Step 4: Simplify right side
    483,042.40x = 312,207,686,387.52
  5. Step 5: Solve for x
    x = 312,207,686,387.52/483,042.40
  6. Step 6: Final answer
    x = 646,335.99

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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.