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Finding the Fourth Proportional to 611,455.95, 843,781.07 and 339,541.16

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Solution

The fourth proportional to 611,455.95, 843,781.07 and 339,541.16 is: 468,551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,455.95 : 843,781.07 = 339,541.16 : x
  2. Step 2: Convert to fraction form
    611,455.95/843,781.07 = 339,541.16/x
  3. Step 3: Cross multiply
    611,455.95x = 843,781.07 × 339,541.16
  4. Step 4: Simplify right side
    611,455.95x = 286,498,399,923.79
  5. Step 5: Solve for x
    x = 286,498,399,923.79/611,455.95
  6. Step 6: Final answer
    x = 468,551.17

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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.