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Finding the Fourth Proportional to 310,436,701.20, 465,655,051.80 and 105,971,446.80

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Solution

The fourth proportional to 310,436,701.20, 465,655,051.80 and 105,971,446.80 is: 158,957,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,436,701.20 : 465,655,051.80 = 105,971,446.80 : x
  2. Step 2: Convert to fraction form
    310,436,701.20/465,655,051.80 = 105,971,446.80/x
  3. Step 3: Cross multiply
    310,436,701.20x = 465,655,051.80 × 105,971,446.80
  4. Step 4: Simplify right side
    310,436,701.20x = 49,346,139,548,974,944
  5. Step 5: Solve for x
    x = 49,346,139,548,974,944/310,436,701.20
  6. Step 6: Final answer
    x = 158,957,170.20

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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.