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Finding the Fourth Proportional to 646,878.40, 970,663.20 and 291,947.20

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Solution

The fourth proportional to 646,878.40, 970,663.20 and 291,947.20 is: 438,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,878.40 : 970,663.20 = 291,947.20 : x
  2. Step 2: Convert to fraction form
    646,878.40/970,663.20 = 291,947.20/x
  3. Step 3: Cross multiply
    646,878.40x = 970,663.20 × 291,947.20
  4. Step 4: Simplify right side
    646,878.40x = 283,382,403,383.04
  5. Step 5: Solve for x
    x = 283,382,403,383.04/646,878.40
  6. Step 6: Final answer
    x = 438,076.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.