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Finding the Fourth Proportional to 418,853.12, 627,907.80 and 152,564

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Solution

The fourth proportional to 418,853.12, 627,907.80 and 152,564 is: 228,710.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,853.12 : 627,907.80 = 152,564 : x
  2. Step 2: Convert to fraction form
    418,853.12/627,907.80 = 152,564/x
  3. Step 3: Cross multiply
    418,853.12x = 627,907.80 × 152,564
  4. Step 4: Simplify right side
    418,853.12x = 95,796,125,599.20
  5. Step 5: Solve for x
    x = 95,796,125,599.20/418,853.12
  6. Step 6: Final answer
    x = 228,710.55

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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.