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Finding the Fourth Proportional to 278,750.76, 384,643.40 and 164,004.19

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Solution

The fourth proportional to 278,750.76, 384,643.40 and 164,004.19 is: 226,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,750.76 : 384,643.40 = 164,004.19 : x
  2. Step 2: Convert to fraction form
    278,750.76/384,643.40 = 164,004.19/x
  3. Step 3: Cross multiply
    278,750.76x = 384,643.40 × 164,004.19
  4. Step 4: Simplify right side
    278,750.76x = 63,083,128,704.25
  5. Step 5: Solve for x
    x = 63,083,128,704.25/278,750.76
  6. Step 6: Final answer
    x = 226,306.57

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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.