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Finding the Fourth Proportional to 507,862.74, 761,257 and 187,808.95

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Solution

The fourth proportional to 507,862.74, 761,257 and 187,808.95 is: 281,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,862.74 : 761,257 = 187,808.95 : x
  2. Step 2: Convert to fraction form
    507,862.74/761,257 = 187,808.95/x
  3. Step 3: Cross multiply
    507,862.74x = 761,257 × 187,808.95
  4. Step 4: Simplify right side
    507,862.74x = 142,970,877,850.15
  5. Step 5: Solve for x
    x = 142,970,877,850.15/507,862.74
  6. Step 6: Final answer
    x = 281,514.80

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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.