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Finding the Fourth Proportional to 704,678.90, 972,451.95 and 382,380.80

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Solution

The fourth proportional to 704,678.90, 972,451.95 and 382,380.80 is: 527,682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,678.90 : 972,451.95 = 382,380.80 : x
  2. Step 2: Convert to fraction form
    704,678.90/972,451.95 = 382,380.80/x
  3. Step 3: Cross multiply
    704,678.90x = 972,451.95 × 382,380.80
  4. Step 4: Simplify right side
    704,678.90x = 371,846,954,602.56
  5. Step 5: Solve for x
    x = 371,846,954,602.56/704,678.90
  6. Step 6: Final answer
    x = 527,682.83

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1.5x scale

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.