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Finding the Fourth Proportional to 286,081,381.80, 429,122,072.70 and 140,608,265.40

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Solution

The fourth proportional to 286,081,381.80, 429,122,072.70 and 140,608,265.40 is: 210,912,398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,081,381.80 : 429,122,072.70 = 140,608,265.40 : x
  2. Step 2: Convert to fraction form
    286,081,381.80/429,122,072.70 = 140,608,265.40/x
  3. Step 3: Cross multiply
    286,081,381.80x = 429,122,072.70 × 140,608,265.40
  4. Step 4: Simplify right side
    286,081,381.80x = 60,338,110,287,199,696
  5. Step 5: Solve for x
    x = 60,338,110,287,199,696/286,081,381.80
  6. Step 6: Final answer
    x = 210,912,398.10

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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.