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Finding the Fourth Proportional to 937,765, 1,406,880.78 and 272,917

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Solution

The fourth proportional to 937,765, 1,406,880.78 and 272,917 is: 409,443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    937,765 : 1,406,880.78 = 272,917 : x
  2. Step 2: Convert to fraction form
    937,765/1,406,880.78 = 272,917/x
  3. Step 3: Cross multiply
    937,765x = 1,406,880.78 × 272,917
  4. Step 4: Simplify right side
    937,765x = 383,961,681,835.26
  5. Step 5: Solve for x
    x = 383,961,681,835.26/937,765
  6. Step 6: Final answer
    x = 409,443.39

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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.