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Finding the Fourth Proportional to 401,720.66, 602,203.95 and 135,294.74

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Solution

The fourth proportional to 401,720.66, 602,203.95 and 135,294.74 is: 202,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,720.66 : 602,203.95 = 135,294.74 : x
  2. Step 2: Convert to fraction form
    401,720.66/602,203.95 = 135,294.74/x
  3. Step 3: Cross multiply
    401,720.66x = 602,203.95 × 135,294.74
  4. Step 4: Simplify right side
    401,720.66x = 81,475,026,842.22
  5. Step 5: Solve for x
    x = 81,475,026,842.22/401,720.66
  6. Step 6: Final answer
    x = 202,815.13

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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.