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Finding the Fourth Proportional to 559,706.88, 772,411.68 and 305,074.56

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Solution

The fourth proportional to 559,706.88, 772,411.68 and 305,074.56 is: 421,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,706.88 : 772,411.68 = 305,074.56 : x
  2. Step 2: Convert to fraction form
    559,706.88/772,411.68 = 305,074.56/x
  3. Step 3: Cross multiply
    559,706.88x = 772,411.68 × 305,074.56
  4. Step 4: Simplify right side
    559,706.88x = 235,643,153,414.86
  5. Step 5: Solve for x
    x = 235,643,153,414.86/559,706.88
  6. Step 6: Final answer
    x = 421,011.71

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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.