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Finding the Fourth Proportional to 211,854.83, 317,782.44 and 148,956.30

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Solution

The fourth proportional to 211,854.83, 317,782.44 and 148,956.30 is: 223,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,854.83 : 317,782.44 = 148,956.30 : x
  2. Step 2: Convert to fraction form
    211,854.83/317,782.44 = 148,956.30/x
  3. Step 3: Cross multiply
    211,854.83x = 317,782.44 × 148,956.30
  4. Step 4: Simplify right side
    211,854.83x = 47,335,696,467.37
  5. Step 5: Solve for x
    x = 47,335,696,467.37/211,854.83
  6. Step 6: Final answer
    x = 223,434.59

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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.