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Finding the Fourth Proportional to 567,435.06, 783,062.10 and 312,780.78

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Solution

The fourth proportional to 567,435.06, 783,062.10 and 312,780.78 is: 431,638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,435.06 : 783,062.10 = 312,780.78 : x
  2. Step 2: Convert to fraction form
    567,435.06/783,062.10 = 312,780.78/x
  3. Step 3: Cross multiply
    567,435.06x = 783,062.10 × 312,780.78
  4. Step 4: Simplify right side
    567,435.06x = 244,926,774,426.44
  5. Step 5: Solve for x
    x = 244,926,774,426.44/567,435.06
  6. Step 6: Final answer
    x = 431,638.42

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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.