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Finding the Fourth Proportional to 313,089.64, 432,370.61 and 216,540.88

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Solution

The fourth proportional to 313,089.64, 432,370.61 and 216,540.88 is: 299,038.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,089.64 : 432,370.61 = 216,540.88 : x
  2. Step 2: Convert to fraction form
    313,089.64/432,370.61 = 216,540.88/x
  3. Step 3: Cross multiply
    313,089.64x = 432,370.61 × 216,540.88
  4. Step 4: Simplify right side
    313,089.64x = 93,625,911,023.93
  5. Step 5: Solve for x
    x = 93,625,911,023.93/313,089.64
  6. Step 6: Final answer
    x = 299,038.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.