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Finding the Fourth Proportional to 280,898.10, 421,347.15 and 93,885.30

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Solution

The fourth proportional to 280,898.10, 421,347.15 and 93,885.30 is: 140,827.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,898.10 : 421,347.15 = 93,885.30 : x
  2. Step 2: Convert to fraction form
    280,898.10/421,347.15 = 93,885.30/x
  3. Step 3: Cross multiply
    280,898.10x = 421,347.15 × 93,885.30
  4. Step 4: Simplify right side
    280,898.10x = 39,558,303,581.90
  5. Step 5: Solve for x
    x = 39,558,303,581.90/280,898.10
  6. Step 6: Final answer
    x = 140,827.95

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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.