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Finding the Fourth Proportional to 546,696.32, 754,515.84 and 320,432

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Solution

The fourth proportional to 546,696.32, 754,515.84 and 320,432 is: 442,240.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,696.32 : 754,515.84 = 320,432 : x
  2. Step 2: Convert to fraction form
    546,696.32/754,515.84 = 320,432/x
  3. Step 3: Cross multiply
    546,696.32x = 754,515.84 × 320,432
  4. Step 4: Simplify right side
    546,696.32x = 241,771,019,642.88
  5. Step 5: Solve for x
    x = 241,771,019,642.88/546,696.32
  6. Step 6: Final answer
    x = 442,240.07

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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.