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Finding the Fourth Proportional to 380,911.87, 571,488.50 and 229,275.01

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Solution

The fourth proportional to 380,911.87, 571,488.50 and 229,275.01 is: 343,985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,911.87 : 571,488.50 = 229,275.01 : x
  2. Step 2: Convert to fraction form
    380,911.87/571,488.50 = 229,275.01/x
  3. Step 3: Cross multiply
    380,911.87x = 571,488.50 × 229,275.01
  4. Step 4: Simplify right side
    380,911.87x = 131,028,031,552.39
  5. Step 5: Solve for x
    x = 131,028,031,552.39/380,911.87
  6. Step 6: Final answer
    x = 343,985.16

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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.