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Finding the Fourth Proportional to 401,802.12, 602,685.90 and 121,311

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Solution

The fourth proportional to 401,802.12, 602,685.90 and 121,311 is: 181,961.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,802.12 : 602,685.90 = 121,311 : x
  2. Step 2: Convert to fraction form
    401,802.12/602,685.90 = 121,311/x
  3. Step 3: Cross multiply
    401,802.12x = 602,685.90 × 121,311
  4. Step 4: Simplify right side
    401,802.12x = 73,112,429,214.90
  5. Step 5: Solve for x
    x = 73,112,429,214.90/401,802.12
  6. Step 6: Final answer
    x = 181,961.28

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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.