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Finding the Fourth Proportional to 313,434.60, 432,535.22 and 177,465

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Solution

The fourth proportional to 313,434.60, 432,535.22 and 177,465 is: 244,899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,434.60 : 432,535.22 = 177,465 : x
  2. Step 2: Convert to fraction form
    313,434.60/432,535.22 = 177,465/x
  3. Step 3: Cross multiply
    313,434.60x = 432,535.22 × 177,465
  4. Step 4: Simplify right side
    313,434.60x = 76,759,862,817.30
  5. Step 5: Solve for x
    x = 76,759,862,817.30/313,434.60
  6. Step 6: Final answer
    x = 244,899.14

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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.