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Finding the Fourth Proportional to 415,800, 623,803.92 and 120,312

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Solution

The fourth proportional to 415,800, 623,803.92 and 120,312 is: 180,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,800 : 623,803.92 = 120,312 : x
  2. Step 2: Convert to fraction form
    415,800/623,803.92 = 120,312/x
  3. Step 3: Cross multiply
    415,800x = 623,803.92 × 120,312
  4. Step 4: Simplify right side
    415,800x = 75,051,097,223.04
  5. Step 5: Solve for x
    x = 75,051,097,223.04/415,800
  6. Step 6: Final answer
    x = 180,498.07

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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.