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Finding the Fourth Proportional to 852,916, 1,177,127.76 and 495,220

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Solution

The fourth proportional to 852,916, 1,177,127.76 and 495,220 is: 683,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,916 : 1,177,127.76 = 495,220 : x
  2. Step 2: Convert to fraction form
    852,916/1,177,127.76 = 495,220/x
  3. Step 3: Cross multiply
    852,916x = 1,177,127.76 × 495,220
  4. Step 4: Simplify right side
    852,916x = 582,937,209,307.20
  5. Step 5: Solve for x
    x = 582,937,209,307.20/852,916
  6. Step 6: Final answer
    x = 683,463.80

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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.