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Finding the Fourth Proportional to 216,005.40, 324,008.10 and 97,907.40

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Solution

The fourth proportional to 216,005.40, 324,008.10 and 97,907.40 is: 146,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,005.40 : 324,008.10 = 97,907.40 : x
  2. Step 2: Convert to fraction form
    216,005.40/324,008.10 = 97,907.40/x
  3. Step 3: Cross multiply
    216,005.40x = 324,008.10 × 97,907.40
  4. Step 4: Simplify right side
    216,005.40x = 31,722,790,649.94
  5. Step 5: Solve for x
    x = 31,722,790,649.94/216,005.40
  6. Step 6: Final answer
    x = 146,861.10

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1.5x scale

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.