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Finding the Fourth Proportional to 342,225.31, 513,411.23 and 102,358.03

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Solution

The fourth proportional to 342,225.31, 513,411.23 and 102,358.03 is: 153,558.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,225.31 : 513,411.23 = 102,358.03 : x
  2. Step 2: Convert to fraction form
    342,225.31/513,411.23 = 102,358.03/x
  3. Step 3: Cross multiply
    342,225.31x = 513,411.23 × 102,358.03
  4. Step 4: Simplify right side
    342,225.31x = 52,551,761,570.89
  5. Step 5: Solve for x
    x = 52,551,761,570.89/342,225.31
  6. Step 6: Final answer
    x = 153,558.96

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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.