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Finding the Fourth Proportional to 306,130.74, 422,465.46 and 168,315.48

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Solution

The fourth proportional to 306,130.74, 422,465.46 and 168,315.48 is: 232,278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,130.74 : 422,465.46 = 168,315.48 : x
  2. Step 2: Convert to fraction form
    306,130.74/422,465.46 = 168,315.48/x
  3. Step 3: Cross multiply
    306,130.74x = 422,465.46 × 168,315.48
  4. Step 4: Simplify right side
    306,130.74x = 71,107,475,574.03
  5. Step 5: Solve for x
    x = 71,107,475,574.03/306,130.74
  6. Step 6: Final answer
    x = 232,278.13

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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.