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Finding the Fourth Proportional to 317,330.74, 475,973.78 and 148,888

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Solution

The fourth proportional to 317,330.74, 475,973.78 and 148,888 is: 223,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,330.74 : 475,973.78 = 148,888 : x
  2. Step 2: Convert to fraction form
    317,330.74/475,973.78 = 148,888/x
  3. Step 3: Cross multiply
    317,330.74x = 475,973.78 × 148,888
  4. Step 4: Simplify right side
    317,330.74x = 70,866,784,156.64
  5. Step 5: Solve for x
    x = 70,866,784,156.64/317,330.74
  6. Step 6: Final answer
    x = 223,321.52

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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.