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Finding the Fourth Proportional to 569,309.12, 785,687.28 and 314,654.80

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Solution

The fourth proportional to 569,309.12, 785,687.28 and 314,654.80 is: 434,246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,309.12 : 785,687.28 = 314,654.80 : x
  2. Step 2: Convert to fraction form
    569,309.12/785,687.28 = 314,654.80/x
  3. Step 3: Cross multiply
    569,309.12x = 785,687.28 × 314,654.80
  4. Step 4: Simplify right side
    569,309.12x = 247,220,273,950.94
  5. Step 5: Solve for x
    x = 247,220,273,950.94/569,309.12
  6. Step 6: Final answer
    x = 434,246.12

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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.