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Finding the Fourth Proportional to 342,703.13, 472,864.70 and 221,827.64

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Solution

The fourth proportional to 342,703.13, 472,864.70 and 221,827.64 is: 306,079.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,703.13 : 472,864.70 = 221,827.64 : x
  2. Step 2: Convert to fraction form
    342,703.13/472,864.70 = 221,827.64/x
  3. Step 3: Cross multiply
    342,703.13x = 472,864.70 × 221,827.64
  4. Step 4: Simplify right side
    342,703.13x = 104,894,458,630.55
  5. Step 5: Solve for x
    x = 104,894,458,630.55/342,703.13
  6. Step 6: Final answer
    x = 306,079.67

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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.