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Finding the Fourth Proportional to 253,502.64, 349,872.96 and 144,607.20

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Solution

The fourth proportional to 253,502.64, 349,872.96 and 144,607.20 is: 199,580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,502.64 : 349,872.96 = 144,607.20 : x
  2. Step 2: Convert to fraction form
    253,502.64/349,872.96 = 144,607.20/x
  3. Step 3: Cross multiply
    253,502.64x = 349,872.96 × 144,607.20
  4. Step 4: Simplify right side
    253,502.64x = 50,594,149,101.31
  5. Step 5: Solve for x
    x = 50,594,149,101.31/253,502.64
  6. Step 6: Final answer
    x = 199,580.36

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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.