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Finding the Fourth Proportional to 456,315.60, 684,421.08 and 119,388.78

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Solution

The fourth proportional to 456,315.60, 684,421.08 and 119,388.78 is: 179,069.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,315.60 : 684,421.08 = 119,388.78 : x
  2. Step 2: Convert to fraction form
    456,315.60/684,421.08 = 119,388.78/x
  3. Step 3: Cross multiply
    456,315.60x = 684,421.08 × 119,388.78
  4. Step 4: Simplify right side
    456,315.60x = 81,712,197,747.48
  5. Step 5: Solve for x
    x = 81,712,197,747.48/456,315.60
  6. Step 6: Final answer
    x = 179,069.48

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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.