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Finding the Fourth Proportional to 566,077.26, 781,186.60 and 311,422.98

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Solution

The fourth proportional to 566,077.26, 781,186.60 and 311,422.98 is: 429,763.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,077.26 : 781,186.60 = 311,422.98 : x
  2. Step 2: Convert to fraction form
    566,077.26/781,186.60 = 311,422.98/x
  3. Step 3: Cross multiply
    566,077.26x = 781,186.60 × 311,422.98
  4. Step 4: Simplify right side
    566,077.26x = 243,279,458,908.07
  5. Step 5: Solve for x
    x = 243,279,458,908.07/566,077.26
  6. Step 6: Final answer
    x = 429,763.70

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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.