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Finding the Fourth Proportional to 557,639.76, 769,543.20 and 302,990.88

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Solution

The fourth proportional to 557,639.76, 769,543.20 and 302,990.88 is: 418,127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,639.76 : 769,543.20 = 302,990.88 : x
  2. Step 2: Convert to fraction form
    557,639.76/769,543.20 = 302,990.88/x
  3. Step 3: Cross multiply
    557,639.76x = 769,543.20 × 302,990.88
  4. Step 4: Simplify right side
    557,639.76x = 233,164,571,366.02
  5. Step 5: Solve for x
    x = 233,164,571,366.02/557,639.76
  6. Step 6: Final answer
    x = 418,127.59

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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.