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Finding the Fourth Proportional to 487,987.74, 731,480.49 and 277,175.58

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Solution

The fourth proportional to 487,987.74, 731,480.49 and 277,175.58 is: 415,478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,987.74 : 731,480.49 = 277,175.58 : x
  2. Step 2: Convert to fraction form
    487,987.74/731,480.49 = 277,175.58/x
  3. Step 3: Cross multiply
    487,987.74x = 731,480.49 × 277,175.58
  4. Step 4: Simplify right side
    487,987.74x = 202,748,529,074.43
  5. Step 5: Solve for x
    x = 202,748,529,074.43/487,987.74
  6. Step 6: Final answer
    x = 415,478.74

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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.