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Finding the Fourth Proportional to 472,618.60, 708,683.10 and 140,151.40

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Solution

The fourth proportional to 472,618.60, 708,683.10 and 140,151.40 is: 210,154.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,618.60 : 708,683.10 = 140,151.40 : x
  2. Step 2: Convert to fraction form
    472,618.60/708,683.10 = 140,151.40/x
  3. Step 3: Cross multiply
    472,618.60x = 708,683.10 × 140,151.40
  4. Step 4: Simplify right side
    472,618.60x = 99,322,928,621.34
  5. Step 5: Solve for x
    x = 99,322,928,621.34/472,618.60
  6. Step 6: Final answer
    x = 210,154.51

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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.