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Finding the Fourth Proportional to 564,000, 778,389.12 and 325,536

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Solution

The fourth proportional to 564,000, 778,389.12 and 325,536 is: 449,279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,000 : 778,389.12 = 325,536 : x
  2. Step 2: Convert to fraction form
    564,000/778,389.12 = 325,536/x
  3. Step 3: Cross multiply
    564,000x = 778,389.12 × 325,536
  4. Step 4: Simplify right side
    564,000x = 253,393,680,568.32
  5. Step 5: Solve for x
    x = 253,393,680,568.32/564,000
  6. Step 6: Final answer
    x = 449,279.58

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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.