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Finding the Fourth Proportional to 465,858.80, 642,698.48 and 293,720.16

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Solution

The fourth proportional to 465,858.80, 642,698.48 and 293,720.16 is: 405,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,858.80 : 642,698.48 = 293,720.16 : x
  2. Step 2: Convert to fraction form
    465,858.80/642,698.48 = 293,720.16/x
  3. Step 3: Cross multiply
    465,858.80x = 642,698.48 × 293,720.16
  4. Step 4: Simplify right side
    465,858.80x = 188,773,500,377.36
  5. Step 5: Solve for x
    x = 188,773,500,377.36/465,858.80
  6. Step 6: Final answer
    x = 405,216.13

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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.