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Finding the Fourth Proportional to 559,947.84, 772,711.20 and 305,304

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Solution

The fourth proportional to 559,947.84, 772,711.20 and 305,304 is: 421,310.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,947.84 : 772,711.20 = 305,304 : x
  2. Step 2: Convert to fraction form
    559,947.84/772,711.20 = 305,304/x
  3. Step 3: Cross multiply
    559,947.84x = 772,711.20 × 305,304
  4. Step 4: Simplify right side
    559,947.84x = 235,911,820,204.80
  5. Step 5: Solve for x
    x = 235,911,820,204.80/559,947.84
  6. Step 6: Final answer
    x = 421,310.35

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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.