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Finding the Fourth Proportional to 390,226.16, 585,223.80 and 165,583.76

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Solution

The fourth proportional to 390,226.16, 585,223.80 and 165,583.76 is: 248,326.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,226.16 : 585,223.80 = 165,583.76 : x
  2. Step 2: Convert to fraction form
    390,226.16/585,223.80 = 165,583.76/x
  3. Step 3: Cross multiply
    390,226.16x = 585,223.80 × 165,583.76
  4. Step 4: Simplify right side
    390,226.16x = 96,903,557,245.49
  5. Step 5: Solve for x
    x = 96,903,557,245.49/390,226.16
  6. Step 6: Final answer
    x = 248,326.66

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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.