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Finding the Fourth Proportional to 388,560, 582,813.25 and 238,823.40

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Solution

The fourth proportional to 388,560, 582,813.25 and 238,823.40 is: 358,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,560 : 582,813.25 = 238,823.40 : x
  2. Step 2: Convert to fraction form
    388,560/582,813.25 = 238,823.40/x
  3. Step 3: Cross multiply
    388,560x = 582,813.25 × 238,823.40
  4. Step 4: Simplify right side
    388,560x = 139,189,441,332.99
  5. Step 5: Solve for x
    x = 139,189,441,332.99/388,560
  6. Step 6: Final answer
    x = 358,218.66

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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.