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Finding the Fourth Proportional to 402,651.58, 603,534.45 and 165,865.08

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Solution

The fourth proportional to 402,651.58, 603,534.45 and 165,865.08 is: 248,615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,651.58 : 603,534.45 = 165,865.08 : x
  2. Step 2: Convert to fraction form
    402,651.58/603,534.45 = 165,865.08/x
  3. Step 3: Cross multiply
    402,651.58x = 603,534.45 × 165,865.08
  4. Step 4: Simplify right side
    402,651.58x = 100,105,289,832.01
  5. Step 5: Solve for x
    x = 100,105,289,832.01/402,651.58
  6. Step 6: Final answer
    x = 248,615.17

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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.