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Finding the Fourth Proportional to 278,475.19, 384,263.80 and 155,950.47

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Solution

The fourth proportional to 278,475.19, 384,263.80 and 155,950.47 is: 215,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,475.19 : 384,263.80 = 155,950.47 : x
  2. Step 2: Convert to fraction form
    278,475.19/384,263.80 = 155,950.47/x
  3. Step 3: Cross multiply
    278,475.19x = 384,263.80 × 155,950.47
  4. Step 4: Simplify right side
    278,475.19x = 59,926,119,824.11
  5. Step 5: Solve for x
    x = 59,926,119,824.11/278,475.19
  6. Step 6: Final answer
    x = 215,193.75

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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.