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Finding the Fourth Proportional to 384,370.65, 576,055.80 and 156,400.54

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Solution

The fourth proportional to 384,370.65, 576,055.80 and 156,400.54 is: 234,397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,370.65 : 576,055.80 = 156,400.54 : x
  2. Step 2: Convert to fraction form
    384,370.65/576,055.80 = 156,400.54/x
  3. Step 3: Cross multiply
    384,370.65x = 576,055.80 × 156,400.54
  4. Step 4: Simplify right side
    384,370.65x = 90,095,436,749.99
  5. Step 5: Solve for x
    x = 90,095,436,749.99/384,370.65
  6. Step 6: Final answer
    x = 234,397.28

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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.