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Finding the Fourth Proportional to 611,143.08, 843,374.52 and 339,214.20

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Solution

The fourth proportional to 611,143.08, 843,374.52 and 339,214.20 is: 468,113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,143.08 : 843,374.52 = 339,214.20 : x
  2. Step 2: Convert to fraction form
    611,143.08/843,374.52 = 339,214.20/x
  3. Step 3: Cross multiply
    611,143.08x = 843,374.52 × 339,214.20
  4. Step 4: Simplify right side
    611,143.08x = 286,084,613,102.18
  5. Step 5: Solve for x
    x = 286,084,613,102.18/611,143.08
  6. Step 6: Final answer
    x = 468,113.97

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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.