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Finding the Fourth Proportional to 251,903.40, 377,855.10 and 145,615.20

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Solution

The fourth proportional to 251,903.40, 377,855.10 and 145,615.20 is: 218,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,903.40 : 377,855.10 = 145,615.20 : x
  2. Step 2: Convert to fraction form
    251,903.40/377,855.10 = 145,615.20/x
  3. Step 3: Cross multiply
    251,903.40x = 377,855.10 × 145,615.20
  4. Step 4: Simplify right side
    251,903.40x = 55,021,445,957.52
  5. Step 5: Solve for x
    x = 55,021,445,957.52/251,903.40
  6. Step 6: Final answer
    x = 218,422.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.