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Finding the Fourth Proportional to 525,397.32, 787,952.40 and 188,375.40

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Solution

The fourth proportional to 525,397.32, 787,952.40 and 188,375.40 is: 282,511.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,397.32 : 787,952.40 = 188,375.40 : x
  2. Step 2: Convert to fraction form
    525,397.32/787,952.40 = 188,375.40/x
  3. Step 3: Cross multiply
    525,397.32x = 787,952.40 × 188,375.40
  4. Step 4: Simplify right side
    525,397.32x = 148,430,848,530.96
  5. Step 5: Solve for x
    x = 148,430,848,530.96/525,397.32
  6. Step 6: Final answer
    x = 282,511.62

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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.