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Finding the Fourth Proportional to 559,689.75, 772,371.86 and 305,041.55

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Solution

The fourth proportional to 559,689.75, 772,371.86 and 305,041.55 is: 420,957.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,689.75 : 772,371.86 = 305,041.55 : x
  2. Step 2: Convert to fraction form
    559,689.75/772,371.86 = 305,041.55/x
  3. Step 3: Cross multiply
    559,689.75x = 772,371.86 × 305,041.55
  4. Step 4: Simplify right side
    559,689.75x = 235,605,503,963.72
  5. Step 5: Solve for x
    x = 235,605,503,963.72/559,689.75
  6. Step 6: Final answer
    x = 420,957.33

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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.