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Finding the Fourth Proportional to 511,870.20, 767,459.70 and 272,023.80

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Solution

The fourth proportional to 511,870.20, 767,459.70 and 272,023.80 is: 407,852.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,870.20 : 767,459.70 = 272,023.80 : x
  2. Step 2: Convert to fraction form
    511,870.20/767,459.70 = 272,023.80/x
  3. Step 3: Cross multiply
    511,870.20x = 767,459.70 × 272,023.80
  4. Step 4: Simplify right side
    511,870.20x = 208,767,303,940.86
  5. Step 5: Solve for x
    x = 208,767,303,940.86/511,870.20
  6. Step 6: Final answer
    x = 407,852.04

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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.