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Finding the Fourth Proportional to 559,078.88, 771,531.89 and 304,430.13

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Solution

The fourth proportional to 559,078.88, 771,531.89 and 304,430.13 is: 420,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,078.88 : 771,531.89 = 304,430.13 : x
  2. Step 2: Convert to fraction form
    559,078.88/771,531.89 = 304,430.13/x
  3. Step 3: Cross multiply
    559,078.88x = 771,531.89 × 304,430.13
  4. Step 4: Simplify right side
    559,078.88x = 234,877,552,049.70
  5. Step 5: Solve for x
    x = 234,877,552,049.70/559,078.88
  6. Step 6: Final answer
    x = 420,115.23

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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.