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Finding the Fourth Proportional to 381,564.60, 571,569.30 and 194,681.40

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Solution

The fourth proportional to 381,564.60, 571,569.30 and 194,681.40 is: 291,625.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,564.60 : 571,569.30 = 194,681.40 : x
  2. Step 2: Convert to fraction form
    381,564.60/571,569.30 = 194,681.40/x
  3. Step 3: Cross multiply
    381,564.60x = 571,569.30 × 194,681.40
  4. Step 4: Simplify right side
    381,564.60x = 111,273,911,521.02
  5. Step 5: Solve for x
    x = 111,273,911,521.02/381,564.60
  6. Step 6: Final answer
    x = 291,625.35

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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.