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Finding the Fourth Proportional to 569,314.17, 785,656.67 and 311,191.47

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Solution

The fourth proportional to 569,314.17, 785,656.67 and 311,191.47 is: 429,445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,314.17 : 785,656.67 = 311,191.47 : x
  2. Step 2: Convert to fraction form
    569,314.17/785,656.67 = 311,191.47/x
  3. Step 3: Cross multiply
    569,314.17x = 785,656.67 × 311,191.47
  4. Step 4: Simplify right side
    569,314.17x = 244,489,652,496.65
  5. Step 5: Solve for x
    x = 244,489,652,496.65/569,314.17
  6. Step 6: Final answer
    x = 429,445.93

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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.