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Finding the Fourth Proportional to 564,624, 779,080.50 and 319,607.52

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Solution

The fourth proportional to 564,624, 779,080.50 and 319,607.52 is: 441,001.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,624 : 779,080.50 = 319,607.52 : x
  2. Step 2: Convert to fraction form
    564,624/779,080.50 = 319,607.52/x
  3. Step 3: Cross multiply
    564,624x = 779,080.50 × 319,607.52
  4. Step 4: Simplify right side
    564,624x = 248,999,986,485.36
  5. Step 5: Solve for x
    x = 248,999,986,485.36/564,624
  6. Step 6: Final answer
    x = 441,001.42

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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.