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Finding the Fourth Proportional to 278,903,064.08, 418,616,704.02 and 146,051,275.34

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Solution

The fourth proportional to 278,903,064.08, 418,616,704.02 and 146,051,275.34 is: 219,214,169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,903,064.08 : 418,616,704.02 = 146,051,275.34 : x
  2. Step 2: Convert to fraction form
    278,903,064.08/418,616,704.02 = 146,051,275.34/x
  3. Step 3: Cross multiply
    278,903,064.08x = 418,616,704.02 × 146,051,275.34
  4. Step 4: Simplify right side
    278,903,064.08x = 61,139,503,500,748,304
  5. Step 5: Solve for x
    x = 61,139,503,500,748,304/278,903,064.08
  6. Step 6: Final answer
    x = 219,214,169.28

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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.