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Finding the Fourth Proportional to 813,155, 1,122,153.90 and 495,203

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Solution

The fourth proportional to 813,155, 1,122,153.90 and 495,203 is: 683,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,155 : 1,122,153.90 = 495,203 : x
  2. Step 2: Convert to fraction form
    813,155/1,122,153.90 = 495,203/x
  3. Step 3: Cross multiply
    813,155x = 1,122,153.90 × 495,203
  4. Step 4: Simplify right side
    813,155x = 555,693,977,741.70
  5. Step 5: Solve for x
    x = 555,693,977,741.70/813,155
  6. Step 6: Final answer
    x = 683,380.14

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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.