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Finding the Fourth Proportional to 688,481.70, 950,178.78 and 416,699.16

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Solution

The fourth proportional to 688,481.70, 950,178.78 and 416,699.16 is: 575,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,481.70 : 950,178.78 = 416,699.16 : x
  2. Step 2: Convert to fraction form
    688,481.70/950,178.78 = 416,699.16/x
  3. Step 3: Cross multiply
    688,481.70x = 950,178.78 × 416,699.16
  4. Step 4: Simplify right side
    688,481.70x = 395,938,699,475.83
  5. Step 5: Solve for x
    x = 395,938,699,475.83/688,481.70
  6. Step 6: Final answer
    x = 575,089.65

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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.