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Finding the Fourth Proportional to 278,908,538.40, 418,362,807.60 and 261,902,426.40

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Solution

The fourth proportional to 278,908,538.40, 418,362,807.60 and 261,902,426.40 is: 392,853,639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,908,538.40 : 418,362,807.60 = 261,902,426.40 : x
  2. Step 2: Convert to fraction form
    278,908,538.40/418,362,807.60 = 261,902,426.40/x
  3. Step 3: Cross multiply
    278,908,538.40x = 418,362,807.60 × 261,902,426.40
  4. Step 4: Simplify right side
    278,908,538.40x = 109,570,234,425,956,368
  5. Step 5: Solve for x
    x = 109,570,234,425,956,368/278,908,538.40
  6. Step 6: Final answer
    x = 392,853,639.60

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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.