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Finding the Fourth Proportional to 302,685.20, 453,703.80 and 102,820.40

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Solution

The fourth proportional to 302,685.20, 453,703.80 and 102,820.40 is: 154,120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,685.20 : 453,703.80 = 102,820.40 : x
  2. Step 2: Convert to fraction form
    302,685.20/453,703.80 = 102,820.40/x
  3. Step 3: Cross multiply
    302,685.20x = 453,703.80 × 102,820.40
  4. Step 4: Simplify right side
    302,685.20x = 46,650,006,197.52
  5. Step 5: Solve for x
    x = 46,650,006,197.52/302,685.20
  6. Step 6: Final answer
    x = 154,120.54

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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.