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Finding the Fourth Proportional to 384,565.40, 576,329.70 and 257,845.40

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Solution

The fourth proportional to 384,565.40, 576,329.70 and 257,845.40 is: 386,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,565.40 : 576,329.70 = 257,845.40 : x
  2. Step 2: Convert to fraction form
    384,565.40/576,329.70 = 257,845.40/x
  3. Step 3: Cross multiply
    384,565.40x = 576,329.70 × 257,845.40
  4. Step 4: Simplify right side
    384,565.40x = 148,603,962,028.38
  5. Step 5: Solve for x
    x = 148,603,962,028.38/384,565.40
  6. Step 6: Final answer
    x = 386,420.52

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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.