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Finding the Fourth Proportional to 211,128.40, 316,746.60 and 148,920.40

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Solution

The fourth proportional to 211,128.40, 316,746.60 and 148,920.40 is: 223,418.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,128.40 : 316,746.60 = 148,920.40 : x
  2. Step 2: Convert to fraction form
    211,128.40/316,746.60 = 148,920.40/x
  3. Step 3: Cross multiply
    211,128.40x = 316,746.60 × 148,920.40
  4. Step 4: Simplify right side
    211,128.40x = 47,170,030,370.64
  5. Step 5: Solve for x
    x = 47,170,030,370.64/211,128.40
  6. Step 6: Final answer
    x = 223,418.69

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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.