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Finding the Fourth Proportional to 342,428.16, 472,525.20 and 191,496

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Solution

The fourth proportional to 342,428.16, 472,525.20 and 191,496 is: 264,250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,428.16 : 472,525.20 = 191,496 : x
  2. Step 2: Convert to fraction form
    342,428.16/472,525.20 = 191,496/x
  3. Step 3: Cross multiply
    342,428.16x = 472,525.20 × 191,496
  4. Step 4: Simplify right side
    342,428.16x = 90,486,685,699.20
  5. Step 5: Solve for x
    x = 90,486,685,699.20/342,428.16
  6. Step 6: Final answer
    x = 264,250.13

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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.