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Finding the Fourth Proportional to 704,780, 972,596.90 and 382,490.02

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Solution

The fourth proportional to 704,780, 972,596.90 and 382,490.02 is: 527,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,780 : 972,596.90 = 382,490.02 : x
  2. Step 2: Convert to fraction form
    704,780/972,596.90 = 382,490.02/x
  3. Step 3: Cross multiply
    704,780x = 972,596.90 × 382,490.02
  4. Step 4: Simplify right side
    704,780x = 372,008,607,732.94
  5. Step 5: Solve for x
    x = 372,008,607,732.94/704,780
  6. Step 6: Final answer
    x = 527,836.50

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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.