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Finding the Fourth Proportional to 684,253.32, 944,231.49 and 378,312

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Solution

The fourth proportional to 684,253.32, 944,231.49 and 378,312 is: 522,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,253.32 : 944,231.49 = 378,312 : x
  2. Step 2: Convert to fraction form
    684,253.32/944,231.49 = 378,312/x
  3. Step 3: Cross multiply
    684,253.32x = 944,231.49 × 378,312
  4. Step 4: Simplify right side
    684,253.32x = 357,214,103,444.88
  5. Step 5: Solve for x
    x = 357,214,103,444.88/684,253.32
  6. Step 6: Final answer
    x = 522,049.50

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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.