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Finding the Fourth Proportional to 564,840, 779,548.32 and 326,376

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Solution

The fourth proportional to 564,840, 779,548.32 and 326,376 is: 450,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,840 : 779,548.32 = 326,376 : x
  2. Step 2: Convert to fraction form
    564,840/779,548.32 = 326,376/x
  3. Step 3: Cross multiply
    564,840x = 779,548.32 × 326,376
  4. Step 4: Simplify right side
    564,840x = 254,425,862,488.32
  5. Step 5: Solve for x
    x = 254,425,862,488.32/564,840
  6. Step 6: Final answer
    x = 450,438.82

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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.