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Finding the Fourth Proportional to 813,154, 1,122,152.52 and 495,202

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Solution

The fourth proportional to 813,154, 1,122,152.52 and 495,202 is: 683,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,154 : 1,122,152.52 = 495,202 : x
  2. Step 2: Convert to fraction form
    813,154/1,122,152.52 = 495,202/x
  3. Step 3: Cross multiply
    813,154x = 1,122,152.52 × 495,202
  4. Step 4: Simplify right side
    813,154x = 555,692,172,209.04
  5. Step 5: Solve for x
    x = 555,692,172,209.04/813,154
  6. Step 6: Final answer
    x = 683,378.76

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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.