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Finding the Fourth Proportional to 565,415.67, 780,279.68 and 307,292.61

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Solution

The fourth proportional to 565,415.67, 780,279.68 and 307,292.61 is: 424,067.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,415.67 : 780,279.68 = 307,292.61 : x
  2. Step 2: Convert to fraction form
    565,415.67/780,279.68 = 307,292.61/x
  3. Step 3: Cross multiply
    565,415.67x = 780,279.68 × 307,292.61
  4. Step 4: Simplify right side
    565,415.67x = 239,774,179,397.17
  5. Step 5: Solve for x
    x = 239,774,179,397.17/565,415.67
  6. Step 6: Final answer
    x = 424,067.09

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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.