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Finding the Fourth Proportional to 684,964.40, 945,630.92 and 413,101.44

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Solution

The fourth proportional to 684,964.40, 945,630.92 and 413,101.44 is: 570,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,964.40 : 945,630.92 = 413,101.44 : x
  2. Step 2: Convert to fraction form
    684,964.40/945,630.92 = 413,101.44/x
  3. Step 3: Cross multiply
    684,964.40x = 945,630.92 × 413,101.44
  4. Step 4: Simplify right side
    684,964.40x = 390,641,495,793.28
  5. Step 5: Solve for x
    x = 390,641,495,793.28/684,964.40
  6. Step 6: Final answer
    x = 570,309.20

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.