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Finding the Fourth Proportional to 260,523.95, 390,581.77 and 102,870.41

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Solution

The fourth proportional to 260,523.95, 390,581.77 and 102,870.41 is: 154,225.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,523.95 : 390,581.77 = 102,870.41 : x
  2. Step 2: Convert to fraction form
    260,523.95/390,581.77 = 102,870.41/x
  3. Step 3: Cross multiply
    260,523.95x = 390,581.77 × 102,870.41
  4. Step 4: Simplify right side
    260,523.95x = 40,179,306,818.43
  5. Step 5: Solve for x
    x = 40,179,306,818.43/260,523.95
  6. Step 6: Final answer
    x = 154,225.00

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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.