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Finding the Fourth Proportional to 423,378.34, 584,747 and 278,830.27

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Solution

The fourth proportional to 423,378.34, 584,747 and 278,830.27 is: 385,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,378.34 : 584,747 = 278,830.27 : x
  2. Step 2: Convert to fraction form
    423,378.34/584,747 = 278,830.27/x
  3. Step 3: Cross multiply
    423,378.34x = 584,747 × 278,830.27
  4. Step 4: Simplify right side
    423,378.34x = 163,045,162,429.82
  5. Step 5: Solve for x
    x = 163,045,162,429.82/423,378.34
  6. Step 6: Final answer
    x = 385,105.11

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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.