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Finding the Fourth Proportional to 783,520, 1,175,612.56 and 428,118.84

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Solution

The fourth proportional to 783,520, 1,175,612.56 and 428,118.84 is: 642,359.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,520 : 1,175,612.56 = 428,118.84 : x
  2. Step 2: Convert to fraction form
    783,520/1,175,612.56 = 428,118.84/x
  3. Step 3: Cross multiply
    783,520x = 1,175,612.56 × 428,118.84
  4. Step 4: Simplify right side
    783,520x = 503,301,885,476.63
  5. Step 5: Solve for x
    x = 503,301,885,476.63/783,520
  6. Step 6: Final answer
    x = 642,359.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.