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Finding the Fourth Proportional to 525,412.32, 787,974.90 and 188,390.40

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Solution

The fourth proportional to 525,412.32, 787,974.90 and 188,390.40 is: 282,534.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,412.32 : 787,974.90 = 188,390.40 : x
  2. Step 2: Convert to fraction form
    525,412.32/787,974.90 = 188,390.40/x
  3. Step 3: Cross multiply
    525,412.32x = 787,974.90 × 188,390.40
  4. Step 4: Simplify right side
    525,412.32x = 148,446,906,600.96
  5. Step 5: Solve for x
    x = 148,446,906,600.96/525,412.32
  6. Step 6: Final answer
    x = 282,534.12

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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.