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Finding the Fourth Proportional to 678,029.61, 935,600.02 and 402,343.68

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Solution

The fourth proportional to 678,029.61, 935,600.02 and 402,343.68 is: 555,186.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,029.61 : 935,600.02 = 402,343.68 : x
  2. Step 2: Convert to fraction form
    678,029.61/935,600.02 = 402,343.68/x
  3. Step 3: Cross multiply
    678,029.61x = 935,600.02 × 402,343.68
  4. Step 4: Simplify right side
    678,029.61x = 376,432,755,054.87
  5. Step 5: Solve for x
    x = 376,432,755,054.87/678,029.61
  6. Step 6: Final answer
    x = 555,186.31

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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.