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Finding the Fourth Proportional to 291,321.64, 402,034.72 and 160,504.61

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Solution

The fourth proportional to 291,321.64, 402,034.72 and 160,504.61 is: 221,502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,321.64 : 402,034.72 = 160,504.61 : x
  2. Step 2: Convert to fraction form
    291,321.64/402,034.72 = 160,504.61/x
  3. Step 3: Cross multiply
    291,321.64x = 402,034.72 × 160,504.61
  4. Step 4: Simplify right side
    291,321.64x = 64,528,425,638.15
  5. Step 5: Solve for x
    x = 64,528,425,638.15/291,321.64
  6. Step 6: Final answer
    x = 221,502.34

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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.