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Finding the Fourth Proportional to 342,156, 472,175.28 and 191,282.16

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Solution

The fourth proportional to 342,156, 472,175.28 and 191,282.16 is: 263,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,156 : 472,175.28 = 191,282.16 : x
  2. Step 2: Convert to fraction form
    342,156/472,175.28 = 191,282.16/x
  3. Step 3: Cross multiply
    342,156x = 472,175.28 × 191,282.16
  4. Step 4: Simplify right side
    342,156x = 90,318,707,457.00
  5. Step 5: Solve for x
    x = 90,318,707,457.00/342,156
  6. Step 6: Final answer
    x = 263,969.38

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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.