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Finding the Fourth Proportional to 390,223.98, 585,336.15 and 109,741.23

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Solution

The fourth proportional to 390,223.98, 585,336.15 and 109,741.23 is: 164,611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,223.98 : 585,336.15 = 109,741.23 : x
  2. Step 2: Convert to fraction form
    390,223.98/585,336.15 = 109,741.23/x
  3. Step 3: Cross multiply
    390,223.98x = 585,336.15 × 109,741.23
  4. Step 4: Simplify right side
    390,223.98x = 64,235,509,064.46
  5. Step 5: Solve for x
    x = 64,235,509,064.46/390,223.98
  6. Step 6: Final answer
    x = 164,611.90

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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.