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Finding the Fourth Proportional to 439,906.14, 659,870.66 and 140,386.32

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Solution

The fourth proportional to 439,906.14, 659,870.66 and 140,386.32 is: 210,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,906.14 : 659,870.66 = 140,386.32 : x
  2. Step 2: Convert to fraction form
    439,906.14/659,870.66 = 140,386.32/x
  3. Step 3: Cross multiply
    439,906.14x = 659,870.66 × 140,386.32
  4. Step 4: Simplify right side
    439,906.14x = 92,636,813,984.34
  5. Step 5: Solve for x
    x = 92,636,813,984.34/439,906.14
  6. Step 6: Final answer
    x = 210,583.13

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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.