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Finding the Fourth Proportional to 310,510.40, 428,498.52 and 195,765.80

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Solution

The fourth proportional to 310,510.40, 428,498.52 and 195,765.80 is: 270,153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,510.40 : 428,498.52 = 195,765.80 : x
  2. Step 2: Convert to fraction form
    310,510.40/428,498.52 = 195,765.80/x
  3. Step 3: Cross multiply
    310,510.40x = 428,498.52 × 195,765.80
  4. Step 4: Simplify right side
    310,510.40x = 83,885,355,566.62
  5. Step 5: Solve for x
    x = 83,885,355,566.62/310,510.40
  6. Step 6: Final answer
    x = 270,153.13

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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.