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Finding the Fourth Proportional to 813,152, 1,122,149.76 and 495,200

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Solution

The fourth proportional to 813,152, 1,122,149.76 and 495,200 is: 683,376

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,152 : 1,122,149.76 = 495,200 : x
  2. Step 2: Convert to fraction form
    813,152/1,122,149.76 = 495,200/x
  3. Step 3: Cross multiply
    813,152x = 1,122,149.76 × 495,200
  4. Step 4: Simplify right side
    813,152x = 555,688,561,152
  5. Step 5: Solve for x
    x = 555,688,561,152/813,152
  6. Step 6: Final answer
    x = 683,376

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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.