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Finding the Fourth Proportional to 275,435.20, 413,152.80 and 98,142.40

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Solution

The fourth proportional to 275,435.20, 413,152.80 and 98,142.40 is: 147,213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,435.20 : 413,152.80 = 98,142.40 : x
  2. Step 2: Convert to fraction form
    275,435.20/413,152.80 = 98,142.40/x
  3. Step 3: Cross multiply
    275,435.20x = 413,152.80 × 98,142.40
  4. Step 4: Simplify right side
    275,435.20x = 40,547,807,358.72
  5. Step 5: Solve for x
    x = 40,547,807,358.72/275,435.20
  6. Step 6: Final answer
    x = 147,213.60

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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.