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Finding the Fourth Proportional to 313,634.95, 432,813.90 and 170,396.17

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Solution

The fourth proportional to 313,634.95, 432,813.90 and 170,396.17 is: 235,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,634.95 : 432,813.90 = 170,396.17 : x
  2. Step 2: Convert to fraction form
    313,634.95/432,813.90 = 170,396.17/x
  3. Step 3: Cross multiply
    313,634.95x = 432,813.90 × 170,396.17
  4. Step 4: Simplify right side
    313,634.95x = 73,749,830,882.76
  5. Step 5: Solve for x
    x = 73,749,830,882.76/313,634.95
  6. Step 6: Final answer
    x = 235,145.45

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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.