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Finding the Fourth Proportional to 511,849.60, 706,350.50 and 282,421.20

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Solution

The fourth proportional to 511,849.60, 706,350.50 and 282,421.20 is: 389,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,849.60 : 706,350.50 = 282,421.20 : x
  2. Step 2: Convert to fraction form
    511,849.60/706,350.50 = 282,421.20/x
  3. Step 3: Cross multiply
    511,849.60x = 706,350.50 × 282,421.20
  4. Step 4: Simplify right side
    511,849.60x = 199,488,355,830.60
  5. Step 5: Solve for x
    x = 199,488,355,830.60/511,849.60
  6. Step 6: Final answer
    x = 389,740.18

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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.