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Finding the Fourth Proportional to 456,421.48, 684,061.98 and 219,700.84

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Solution

The fourth proportional to 456,421.48, 684,061.98 and 219,700.84 is: 329,276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,421.48 : 684,061.98 = 219,700.84 : x
  2. Step 2: Convert to fraction form
    456,421.48/684,061.98 = 219,700.84/x
  3. Step 3: Cross multiply
    456,421.48x = 684,061.98 × 219,700.84
  4. Step 4: Simplify right side
    456,421.48x = 150,288,991,618.06
  5. Step 5: Solve for x
    x = 150,288,991,618.06/456,421.48
  6. Step 6: Final answer
    x = 329,276.77

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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.