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Finding the Fourth Proportional to 390,228.16, 585,226.80 and 165,585.76

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Solution

The fourth proportional to 390,228.16, 585,226.80 and 165,585.76 is: 248,329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,228.16 : 585,226.80 = 165,585.76 : x
  2. Step 2: Convert to fraction form
    390,228.16/585,226.80 = 165,585.76/x
  3. Step 3: Cross multiply
    390,228.16x = 585,226.80 × 165,585.76
  4. Step 4: Simplify right side
    390,228.16x = 96,905,224,450.37
  5. Step 5: Solve for x
    x = 96,905,224,450.37/390,228.16
  6. Step 6: Final answer
    x = 248,329.66

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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.