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Finding the Fourth Proportional to 202,345.40, 303,445.20 and 102,472.40

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Solution

The fourth proportional to 202,345.40, 303,445.20 and 102,472.40 is: 153,671.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,345.40 : 303,445.20 = 102,472.40 : x
  2. Step 2: Convert to fraction form
    202,345.40/303,445.20 = 102,472.40/x
  3. Step 3: Cross multiply
    202,345.40x = 303,445.20 × 102,472.40
  4. Step 4: Simplify right side
    202,345.40x = 31,094,757,912.48
  5. Step 5: Solve for x
    x = 31,094,757,912.48/202,345.40
  6. Step 6: Final answer
    x = 153,671.68

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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.