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Finding the Fourth Proportional to 614,082.12, 847,420.56 and 342,148.92

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Solution

The fourth proportional to 614,082.12, 847,420.56 and 342,148.92 is: 472,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,082.12 : 847,420.56 = 342,148.92 : x
  2. Step 2: Convert to fraction form
    614,082.12/847,420.56 = 342,148.92/x
  3. Step 3: Cross multiply
    614,082.12x = 847,420.56 × 342,148.92
  4. Step 4: Simplify right side
    614,082.12x = 289,944,029,389.80
  5. Step 5: Solve for x
    x = 289,944,029,389.80/614,082.12
  6. Step 6: Final answer
    x = 472,158.40

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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.