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Finding the Fourth Proportional to 458,075.52, 686,781.06 and 307,943.40

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Solution

The fourth proportional to 458,075.52, 686,781.06 and 307,943.40 is: 461,691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,075.52 : 686,781.06 = 307,943.40 : x
  2. Step 2: Convert to fraction form
    458,075.52/686,781.06 = 307,943.40/x
  3. Step 3: Cross multiply
    458,075.52x = 686,781.06 × 307,943.40
  4. Step 4: Simplify right side
    458,075.52x = 211,489,694,672.00
  5. Step 5: Solve for x
    x = 211,489,694,672.00/458,075.52
  6. Step 6: Final answer
    x = 461,691.76

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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.