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Finding the Fourth Proportional to 280,762.61, 421,340.74 and 162,270.95

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Solution

The fourth proportional to 280,762.61, 421,340.74 and 162,270.95 is: 243,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,762.61 : 421,340.74 = 162,270.95 : x
  2. Step 2: Convert to fraction form
    280,762.61/421,340.74 = 162,270.95/x
  3. Step 3: Cross multiply
    280,762.61x = 421,340.74 × 162,270.95
  4. Step 4: Simplify right side
    280,762.61x = 68,371,359,641.12
  5. Step 5: Solve for x
    x = 68,371,359,641.12/280,762.61
  6. Step 6: Final answer
    x = 243,520.18

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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.