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Finding the Fourth Proportional to 472,081.23, 651,476.88 and 257,224.86

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Solution

The fourth proportional to 472,081.23, 651,476.88 and 257,224.86 is: 354,972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,081.23 : 651,476.88 = 257,224.86 : x
  2. Step 2: Convert to fraction form
    472,081.23/651,476.88 = 257,224.86/x
  3. Step 3: Cross multiply
    472,081.23x = 651,476.88 × 257,224.86
  4. Step 4: Simplify right side
    472,081.23x = 167,576,049,251.24
  5. Step 5: Solve for x
    x = 167,576,049,251.24/472,081.23
  6. Step 6: Final answer
    x = 354,972.91

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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.