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Finding the Fourth Proportional to 564,419.75, 779,048.58 and 349,437.65

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Solution

The fourth proportional to 564,419.75, 779,048.58 and 349,437.65 is: 482,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,419.75 : 779,048.58 = 349,437.65 : x
  2. Step 2: Convert to fraction form
    564,419.75/779,048.58 = 349,437.65/x
  3. Step 3: Cross multiply
    564,419.75x = 779,048.58 × 349,437.65
  4. Step 4: Simplify right side
    564,419.75x = 272,228,902,446.19
  5. Step 5: Solve for x
    x = 272,228,902,446.19/564,419.75
  6. Step 6: Final answer
    x = 482,316.41

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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.