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Finding the Fourth Proportional to 880,532, 1,215,134.16 and 478,124

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Solution

The fourth proportional to 880,532, 1,215,134.16 and 478,124 is: 659,811.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,532 : 1,215,134.16 = 478,124 : x
  2. Step 2: Convert to fraction form
    880,532/1,215,134.16 = 478,124/x
  3. Step 3: Cross multiply
    880,532x = 1,215,134.16 × 478,124
  4. Step 4: Simplify right side
    880,532x = 580,984,805,115.84
  5. Step 5: Solve for x
    x = 580,984,805,115.84/880,532
  6. Step 6: Final answer
    x = 659,811.12

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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.