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Finding the Fourth Proportional to 213,710.10, 320,565.15 and 203,868.60

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Solution

The fourth proportional to 213,710.10, 320,565.15 and 203,868.60 is: 305,802.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,710.10 : 320,565.15 = 203,868.60 : x
  2. Step 2: Convert to fraction form
    213,710.10/320,565.15 = 203,868.60/x
  3. Step 3: Cross multiply
    213,710.10x = 320,565.15 × 203,868.60
  4. Step 4: Simplify right side
    213,710.10x = 65,353,168,339.29
  5. Step 5: Solve for x
    x = 65,353,168,339.29/213,710.10
  6. Step 6: Final answer
    x = 305,802.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.