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Finding the Fourth Proportional to 462,700.72, 638,515 and 255,976.74

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Solution

The fourth proportional to 462,700.72, 638,515 and 255,976.74 is: 353,241.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,700.72 : 638,515 = 255,976.74 : x
  2. Step 2: Convert to fraction form
    462,700.72/638,515 = 255,976.74/x
  3. Step 3: Cross multiply
    462,700.72x = 638,515 × 255,976.74
  4. Step 4: Simplify right side
    462,700.72x = 163,444,988,141.10
  5. Step 5: Solve for x
    x = 163,444,988,141.10/462,700.72
  6. Step 6: Final answer
    x = 353,241.27

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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.