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Finding the Fourth Proportional to 511,637.88, 706,337.10 and 307,734.32

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Solution

The fourth proportional to 511,637.88, 706,337.10 and 307,734.32 is: 424,839.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,637.88 : 706,337.10 = 307,734.32 : x
  2. Step 2: Convert to fraction form
    511,637.88/706,337.10 = 307,734.32/x
  3. Step 3: Cross multiply
    511,637.88x = 706,337.10 × 307,734.32
  4. Step 4: Simplify right side
    511,637.88x = 217,364,167,159.27
  5. Step 5: Solve for x
    x = 217,364,167,159.27/511,637.88
  6. Step 6: Final answer
    x = 424,839.86

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1.5x scale

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.