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Finding the Fourth Proportional to 340,543.20, 511,106.40 and 151,294.80

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Solution

The fourth proportional to 340,543.20, 511,106.40 and 151,294.80 is: 227,071.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,543.20 : 511,106.40 = 151,294.80 : x
  2. Step 2: Convert to fraction form
    340,543.20/511,106.40 = 151,294.80/x
  3. Step 3: Cross multiply
    340,543.20x = 511,106.40 × 151,294.80
  4. Step 4: Simplify right side
    340,543.20x = 77,327,740,566.72
  5. Step 5: Solve for x
    x = 77,327,740,566.72/340,543.20
  6. Step 6: Final answer
    x = 227,071.75

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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.