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Finding the Fourth Proportional to 465,645.58, 642,082.35 and 314,480.14

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Solution

The fourth proportional to 465,645.58, 642,082.35 and 314,480.14 is: 433,639.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,645.58 : 642,082.35 = 314,480.14 : x
  2. Step 2: Convert to fraction form
    465,645.58/642,082.35 = 314,480.14/x
  3. Step 3: Cross multiply
    465,645.58x = 642,082.35 × 314,480.14
  4. Step 4: Simplify right side
    465,645.58x = 201,922,147,319.53
  5. Step 5: Solve for x
    x = 201,922,147,319.53/465,645.58
  6. Step 6: Final answer
    x = 433,639.14

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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.