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Finding the Fourth Proportional to 381,287,709.45, 571,931,564.18 and 381,287,709.45

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Solution

The fourth proportional to 381,287,709.45, 571,931,564.18 and 381,287,709.45 is: 571,931,564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,287,709.45 : 571,931,564.18 = 381,287,709.45 : x
  2. Step 2: Convert to fraction form
    381,287,709.45/571,931,564.18 = 381,287,709.45/x
  3. Step 3: Cross multiply
    381,287,709.45x = 571,931,564.18 × 381,287,709.45
  4. Step 4: Simplify right side
    381,287,709.45x = 218,070,476,066,441,408
  5. Step 5: Solve for x
    x = 218,070,476,066,441,408/381,287,709.45
  6. Step 6: Final answer
    x = 571,931,564.18

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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.