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Finding the Fourth Proportional to 511,909.76, 706,315.20 and 310,666.88

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Solution

The fourth proportional to 511,909.76, 706,315.20 and 310,666.88 is: 428,647.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,909.76 : 706,315.20 = 310,666.88 : x
  2. Step 2: Convert to fraction form
    511,909.76/706,315.20 = 310,666.88/x
  3. Step 3: Cross multiply
    511,909.76x = 706,315.20 × 310,666.88
  4. Step 4: Simplify right side
    511,909.76x = 219,428,739,480.58
  5. Step 5: Solve for x
    x = 219,428,739,480.58/511,909.76
  6. Step 6: Final answer
    x = 428,647.31

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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.