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Finding the Fourth Proportional to 840,773, 1,160,266.74 and 538,967

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Solution

The fourth proportional to 840,773, 1,160,266.74 and 538,967 is: 743,774.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,773 : 1,160,266.74 = 538,967 : x
  2. Step 2: Convert to fraction form
    840,773/1,160,266.74 = 538,967/x
  3. Step 3: Cross multiply
    840,773x = 1,160,266.74 × 538,967
  4. Step 4: Simplify right side
    840,773x = 625,345,484,057.58
  5. Step 5: Solve for x
    x = 625,345,484,057.58/840,773
  6. Step 6: Final answer
    x = 743,774.46

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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.