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Finding the Fourth Proportional to 569,005.85, 785,204.84 and 310,891.75

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Solution

The fourth proportional to 569,005.85, 785,204.84 and 310,891.75 is: 429,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,005.85 : 785,204.84 = 310,891.75 : x
  2. Step 2: Convert to fraction form
    569,005.85/785,204.84 = 310,891.75/x
  3. Step 3: Cross multiply
    569,005.85x = 785,204.84 × 310,891.75
  4. Step 4: Simplify right side
    569,005.85x = 244,113,701,335.59
  5. Step 5: Solve for x
    x = 244,113,701,335.59/569,005.85
  6. Step 6: Final answer
    x = 429,017.91

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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.