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Finding the Fourth Proportional to 278,307.81, 383,866.77 and 255,411.57

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Solution

The fourth proportional to 278,307.81, 383,866.77 and 255,411.57 is: 352,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,307.81 : 383,866.77 = 255,411.57 : x
  2. Step 2: Convert to fraction form
    278,307.81/383,866.77 = 255,411.57/x
  3. Step 3: Cross multiply
    278,307.81x = 383,866.77 × 255,411.57
  4. Step 4: Simplify right side
    278,307.81x = 98,044,014,396.53
  5. Step 5: Solve for x
    x = 98,044,014,396.53/278,307.81
  6. Step 6: Final answer
    x = 352,286.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.