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Finding the Fourth Proportional to 687,445.84, 948,789.28 and 400,965.92

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Solution

The fourth proportional to 687,445.84, 948,789.28 and 400,965.92 is: 553,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,445.84 : 948,789.28 = 400,965.92 : x
  2. Step 2: Convert to fraction form
    687,445.84/948,789.28 = 400,965.92/x
  3. Step 3: Cross multiply
    687,445.84x = 948,789.28 × 400,965.92
  4. Step 4: Simplify right side
    687,445.84x = 380,432,166,541.34
  5. Step 5: Solve for x
    x = 380,432,166,541.34/687,445.84
  6. Step 6: Final answer
    x = 553,399.47

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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.