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Finding the Fourth Proportional to 415,435.80, 623,258.76 and 115,916.24

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Solution

The fourth proportional to 415,435.80, 623,258.76 and 115,916.24 is: 173,903.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,435.80 : 623,258.76 = 115,916.24 : x
  2. Step 2: Convert to fraction form
    415,435.80/623,258.76 = 115,916.24/x
  3. Step 3: Cross multiply
    415,435.80x = 623,258.76 × 115,916.24
  4. Step 4: Simplify right side
    415,435.80x = 72,245,812,006.26
  5. Step 5: Solve for x
    x = 72,245,812,006.26/415,435.80
  6. Step 6: Final answer
    x = 173,903.67

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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.