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Finding the Fourth Proportional to 502,090.65, 752,388.35 and 277,515.72

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Solution

The fourth proportional to 502,090.65, 752,388.35 and 277,515.72 is: 415,860.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,090.65 : 752,388.35 = 277,515.72 : x
  2. Step 2: Convert to fraction form
    502,090.65/752,388.35 = 277,515.72/x
  3. Step 3: Cross multiply
    502,090.65x = 752,388.35 × 277,515.72
  4. Step 4: Simplify right side
    502,090.65x = 208,799,593,282.28
  5. Step 5: Solve for x
    x = 208,799,593,282.28/502,090.65
  6. Step 6: Final answer
    x = 415,860.35

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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.