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Finding the Fourth Proportional to 678,008.80, 935,590.29 and 402,319.14

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Solution

The fourth proportional to 678,008.80, 935,590.29 and 402,319.14 is: 555,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,008.80 : 935,590.29 = 402,319.14 : x
  2. Step 2: Convert to fraction form
    678,008.80/935,590.29 = 402,319.14/x
  3. Step 3: Cross multiply
    678,008.80x = 935,590.29 × 402,319.14
  4. Step 4: Simplify right side
    678,008.80x = 376,405,878,111.04
  5. Step 5: Solve for x
    x = 376,405,878,111.04/678,008.80
  6. Step 6: Final answer
    x = 555,163.71

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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.