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Finding the Fourth Proportional to 403,875.90, 557,346.15 and 222,588

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Solution

The fourth proportional to 403,875.90, 557,346.15 and 222,588 is: 307,170.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,875.90 : 557,346.15 = 222,588 : x
  2. Step 2: Convert to fraction form
    403,875.90/557,346.15 = 222,588/x
  3. Step 3: Cross multiply
    403,875.90x = 557,346.15 × 222,588
  4. Step 4: Simplify right side
    403,875.90x = 124,058,564,836.20
  5. Step 5: Solve for x
    x = 124,058,564,836.20/403,875.90
  6. Step 6: Final answer
    x = 307,170.01

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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.