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Finding the Fourth Proportional to 342,072.08, 472,022.88 and 198,802.16

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Solution

The fourth proportional to 342,072.08, 472,022.88 and 198,802.16 is: 274,325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,072.08 : 472,022.88 = 198,802.16 : x
  2. Step 2: Convert to fraction form
    342,072.08/472,022.88 = 198,802.16/x
  3. Step 3: Cross multiply
    342,072.08x = 472,022.88 × 198,802.16
  4. Step 4: Simplify right side
    342,072.08x = 93,839,168,113.42
  5. Step 5: Solve for x
    x = 93,839,168,113.42/342,072.08
  6. Step 6: Final answer
    x = 274,325.72

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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.