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Finding the Fourth Proportional to 261,176.64, 360,505.80 and 148,074.72

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Solution

The fourth proportional to 261,176.64, 360,505.80 and 148,074.72 is: 204,389.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,176.64 : 360,505.80 = 148,074.72 : x
  2. Step 2: Convert to fraction form
    261,176.64/360,505.80 = 148,074.72/x
  3. Step 3: Cross multiply
    261,176.64x = 360,505.80 × 148,074.72
  4. Step 4: Simplify right side
    261,176.64x = 53,381,795,393.38
  5. Step 5: Solve for x
    x = 53,381,795,393.38/261,176.64
  6. Step 6: Final answer
    x = 204,389.62

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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.