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Finding the Fourth Proportional to 711,708, 1,067,714.24 and 262,430.08

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Solution

The fourth proportional to 711,708, 1,067,714.24 and 262,430.08 is: 393,701.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,708 : 1,067,714.24 = 262,430.08 : x
  2. Step 2: Convert to fraction form
    711,708/1,067,714.24 = 262,430.08/x
  3. Step 3: Cross multiply
    711,708x = 1,067,714.24 × 262,430.08
  4. Step 4: Simplify right side
    711,708x = 280,200,333,420.34
  5. Step 5: Solve for x
    x = 280,200,333,420.34/711,708
  6. Step 6: Final answer
    x = 393,701.26

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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.