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Finding the Fourth Proportional to 313,275.04, 432,320 and 170,035.12

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Solution

The fourth proportional to 313,275.04, 432,320 and 170,035.12 is: 234,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,275.04 : 432,320 = 170,035.12 : x
  2. Step 2: Convert to fraction form
    313,275.04/432,320 = 170,035.12/x
  3. Step 3: Cross multiply
    313,275.04x = 432,320 × 170,035.12
  4. Step 4: Simplify right side
    313,275.04x = 73,509,583,078.40
  5. Step 5: Solve for x
    x = 73,509,583,078.40/313,275.04
  6. Step 6: Final answer
    x = 234,648.71

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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.