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Finding the Fourth Proportional to 409,969.92, 615,228.48 and 143,730.24

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Solution

The fourth proportional to 409,969.92, 615,228.48 and 143,730.24 is: 215,691.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,969.92 : 615,228.48 = 143,730.24 : x
  2. Step 2: Convert to fraction form
    409,969.92/615,228.48 = 143,730.24/x
  3. Step 3: Cross multiply
    409,969.92x = 615,228.48 × 143,730.24
  4. Step 4: Simplify right side
    409,969.92x = 88,426,937,085.24
  5. Step 5: Solve for x
    x = 88,426,937,085.24/409,969.92
  6. Step 6: Final answer
    x = 215,691.28

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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.