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Finding the Fourth Proportional to 418,735.47, 627,723.09 and 152,307.63

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Solution

The fourth proportional to 418,735.47, 627,723.09 and 152,307.63 is: 228,323.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,735.47 : 627,723.09 = 152,307.63 : x
  2. Step 2: Convert to fraction form
    418,735.47/627,723.09 = 152,307.63/x
  3. Step 3: Cross multiply
    418,735.47x = 627,723.09 × 152,307.63
  4. Step 4: Simplify right side
    418,735.47x = 95,607,016,134.18
  5. Step 5: Solve for x
    x = 95,607,016,134.18/418,735.47
  6. Step 6: Final answer
    x = 228,323.18

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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.