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Finding the Fourth Proportional to 260,522.95, 390,580.28 and 102,869.41

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Solution

The fourth proportional to 260,522.95, 390,580.28 and 102,869.41 is: 154,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,522.95 : 390,580.28 = 102,869.41 : x
  2. Step 2: Convert to fraction form
    260,522.95/390,580.28 = 102,869.41/x
  3. Step 3: Cross multiply
    260,522.95x = 390,580.28 × 102,869.41
  4. Step 4: Simplify right side
    260,522.95x = 40,178,762,446.89
  5. Step 5: Solve for x
    x = 40,178,762,446.89/260,522.95
  6. Step 6: Final answer
    x = 154,223.50

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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.