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Finding the Fourth Proportional to 280,490.94, 420,424.74 and 213,710.91

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Solution

The fourth proportional to 280,490.94, 420,424.74 and 213,710.91 is: 320,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,490.94 : 420,424.74 = 213,710.91 : x
  2. Step 2: Convert to fraction form
    280,490.94/420,424.74 = 213,710.91/x
  3. Step 3: Cross multiply
    280,490.94x = 420,424.74 × 213,710.91
  4. Step 4: Simplify right side
    280,490.94x = 89,849,353,771.91
  5. Step 5: Solve for x
    x = 89,849,353,771.91/280,490.94
  6. Step 6: Final answer
    x = 320,328.90

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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.