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Finding the Fourth Proportional to 400,506.47, 600,683.14 and 120,023.72

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Solution

The fourth proportional to 400,506.47, 600,683.14 and 120,023.72 is: 180,012.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,506.47 : 600,683.14 = 120,023.72 : x
  2. Step 2: Convert to fraction form
    400,506.47/600,683.14 = 120,023.72/x
  3. Step 3: Cross multiply
    400,506.47x = 600,683.14 × 120,023.72
  4. Step 4: Simplify right side
    400,506.47x = 72,096,221,400.55
  5. Step 5: Solve for x
    x = 72,096,221,400.55/400,506.47
  6. Step 6: Final answer
    x = 180,012.63

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1.5x scale

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.