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Finding the Fourth Proportional to 782,034.66, 1,078,957.01 and 437,820

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Solution

The fourth proportional to 782,034.66, 1,078,957.01 and 437,820 is: 604,051.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,034.66 : 1,078,957.01 = 437,820 : x
  2. Step 2: Convert to fraction form
    782,034.66/1,078,957.01 = 437,820/x
  3. Step 3: Cross multiply
    782,034.66x = 1,078,957.01 × 437,820
  4. Step 4: Simplify right side
    782,034.66x = 472,388,958,118.20
  5. Step 5: Solve for x
    x = 472,388,958,118.20/782,034.66
  6. Step 6: Final answer
    x = 604,051.18

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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.