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Finding the Fourth Proportional to 458,137.65, 687,474.45 and 191,875.80

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Solution

The fourth proportional to 458,137.65, 687,474.45 and 191,875.80 is: 287,925.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,137.65 : 687,474.45 = 191,875.80 : x
  2. Step 2: Convert to fraction form
    458,137.65/687,474.45 = 191,875.80/x
  3. Step 3: Cross multiply
    458,137.65x = 687,474.45 × 191,875.80
  4. Step 4: Simplify right side
    458,137.65x = 131,909,710,073.31
  5. Step 5: Solve for x
    x = 131,909,710,073.31/458,137.65
  6. Step 6: Final answer
    x = 287,925.93

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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.