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Finding the Fourth Proportional to 569,128.06, 785,391.15 and 314,473.78

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Solution

The fourth proportional to 569,128.06, 785,391.15 and 314,473.78 is: 433,970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,128.06 : 785,391.15 = 314,473.78 : x
  2. Step 2: Convert to fraction form
    569,128.06/785,391.15 = 314,473.78/x
  3. Step 3: Cross multiply
    569,128.06x = 785,391.15 × 314,473.78
  4. Step 4: Simplify right side
    569,128.06x = 246,984,923,719.05
  5. Step 5: Solve for x
    x = 246,984,923,719.05/569,128.06
  6. Step 6: Final answer
    x = 433,970.74

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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.