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Finding the Fourth Proportional to 688,620.40, 950,140.44 and 416,681.44

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Solution

The fourth proportional to 688,620.40, 950,140.44 and 416,681.44 is: 574,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,620.40 : 950,140.44 = 416,681.44 : x
  2. Step 2: Convert to fraction form
    688,620.40/950,140.44 = 416,681.44/x
  3. Step 3: Cross multiply
    688,620.40x = 950,140.44 × 416,681.44
  4. Step 4: Simplify right side
    688,620.40x = 395,905,886,741.43
  5. Step 5: Solve for x
    x = 395,905,886,741.43/688,620.40
  6. Step 6: Final answer
    x = 574,926.17

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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.