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Finding the Fourth Proportional to 291,983.40, 402,937.20 and 157,847.40

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Solution

The fourth proportional to 291,983.40, 402,937.20 and 157,847.40 is: 217,829.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,983.40 : 402,937.20 = 157,847.40 : x
  2. Step 2: Convert to fraction form
    291,983.40/402,937.20 = 157,847.40/x
  3. Step 3: Cross multiply
    291,983.40x = 402,937.20 × 157,847.40
  4. Step 4: Simplify right side
    291,983.40x = 63,602,589,383.28
  5. Step 5: Solve for x
    x = 63,602,589,383.28/291,983.40
  6. Step 6: Final answer
    x = 217,829.47

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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.