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Finding the Fourth Proportional to 309,632.58, 464,492.70 and 99,221.40

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Solution

The fourth proportional to 309,632.58, 464,492.70 and 99,221.40 is: 148,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,632.58 : 464,492.70 = 99,221.40 : x
  2. Step 2: Convert to fraction form
    309,632.58/464,492.70 = 99,221.40/x
  3. Step 3: Cross multiply
    309,632.58x = 464,492.70 × 99,221.40
  4. Step 4: Simplify right side
    309,632.58x = 46,087,615,983.78
  5. Step 5: Solve for x
    x = 46,087,615,983.78/309,632.58
  6. Step 6: Final answer
    x = 148,846.15

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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.