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Finding the Fourth Proportional to 418,509.51, 627,376.98 and 152,198.52

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Solution

The fourth proportional to 418,509.51, 627,376.98 and 152,198.52 is: 228,156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,509.51 : 627,376.98 = 152,198.52 : x
  2. Step 2: Convert to fraction form
    418,509.51/627,376.98 = 152,198.52/x
  3. Step 3: Cross multiply
    418,509.51x = 627,376.98 × 152,198.52
  4. Step 4: Simplify right side
    418,509.51x = 95,485,843,940.19
  5. Step 5: Solve for x
    x = 95,485,843,940.19/418,509.51
  6. Step 6: Final answer
    x = 228,156.93

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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.