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Finding the Fourth Proportional to 564,839.10, 779,477.90 and 306,714.78

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Solution

The fourth proportional to 564,839.10, 779,477.90 and 306,714.78 is: 423,266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,839.10 : 779,477.90 = 306,714.78 : x
  2. Step 2: Convert to fraction form
    564,839.10/779,477.90 = 306,714.78/x
  3. Step 3: Cross multiply
    564,839.10x = 779,477.90 × 306,714.78
  4. Step 4: Simplify right side
    564,839.10x = 239,077,391,079.79
  5. Step 5: Solve for x
    x = 239,077,391,079.79/564,839.10
  6. Step 6: Final answer
    x = 423,266.36

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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.