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Finding the Fourth Proportional to 317,805.96, 476,303.49 and 148,953.78

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Solution

The fourth proportional to 317,805.96, 476,303.49 and 148,953.78 is: 223,240.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,805.96 : 476,303.49 = 148,953.78 : x
  2. Step 2: Convert to fraction form
    317,805.96/476,303.49 = 148,953.78/x
  3. Step 3: Cross multiply
    317,805.96x = 476,303.49 × 148,953.78
  4. Step 4: Simplify right side
    317,805.96x = 70,947,205,262.69
  5. Step 5: Solve for x
    x = 70,947,205,262.69/317,805.96
  6. Step 6: Final answer
    x = 223,240.64

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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.