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Finding the Fourth Proportional to 435,221.12, 652,693.44 and 139,664

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Solution

The fourth proportional to 435,221.12, 652,693.44 and 139,664 is: 209,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,221.12 : 652,693.44 = 139,664 : x
  2. Step 2: Convert to fraction form
    435,221.12/652,693.44 = 139,664/x
  3. Step 3: Cross multiply
    435,221.12x = 652,693.44 × 139,664
  4. Step 4: Simplify right side
    435,221.12x = 91,157,776,604.16
  5. Step 5: Solve for x
    x = 91,157,776,604.16/435,221.12
  6. Step 6: Final answer
    x = 209,451.64

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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.