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Finding the Fourth Proportional to 600,138, 900,215.64 and 156,906

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Solution

The fourth proportional to 600,138, 900,215.64 and 156,906 is: 235,361.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,138 : 900,215.64 = 156,906 : x
  2. Step 2: Convert to fraction form
    600,138/900,215.64 = 156,906/x
  3. Step 3: Cross multiply
    600,138x = 900,215.64 × 156,906
  4. Step 4: Simplify right side
    600,138x = 141,249,235,209.84
  5. Step 5: Solve for x
    x = 141,249,235,209.84/600,138
  6. Step 6: Final answer
    x = 235,361.26

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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.