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Finding the Fourth Proportional to 511,946.60, 706,626.82 and 297,155.86

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Solution

The fourth proportional to 511,946.60, 706,626.82 and 297,155.86 is: 410,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,946.60 : 706,626.82 = 297,155.86 : x
  2. Step 2: Convert to fraction form
    511,946.60/706,626.82 = 297,155.86/x
  3. Step 3: Cross multiply
    511,946.60x = 706,626.82 × 297,155.86
  4. Step 4: Simplify right side
    511,946.60x = 209,978,299,001.04
  5. Step 5: Solve for x
    x = 209,978,299,001.04/511,946.60
  6. Step 6: Final answer
    x = 410,156.65

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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.