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Finding the Fourth Proportional to 380,684.79, 571,099.28 and 152,998.11

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Solution

The fourth proportional to 380,684.79, 571,099.28 and 152,998.11 is: 229,526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,684.79 : 571,099.28 = 152,998.11 : x
  2. Step 2: Convert to fraction form
    380,684.79/571,099.28 = 152,998.11/x
  3. Step 3: Cross multiply
    380,684.79x = 571,099.28 × 152,998.11
  4. Step 4: Simplify right side
    380,684.79x = 87,377,110,462.36
  5. Step 5: Solve for x
    x = 87,377,110,462.36/380,684.79
  6. Step 6: Final answer
    x = 229,526.14

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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.