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Finding the Fourth Proportional to 206,695,266.40, 310,042,899.60 and 187,563,390.40

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Solution

The fourth proportional to 206,695,266.40, 310,042,899.60 and 187,563,390.40 is: 281,345,085.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,695,266.40 : 310,042,899.60 = 187,563,390.40 : x
  2. Step 2: Convert to fraction form
    206,695,266.40/310,042,899.60 = 187,563,390.40/x
  3. Step 3: Cross multiply
    206,695,266.40x = 310,042,899.60 × 187,563,390.40
  4. Step 4: Simplify right side
    206,695,266.40x = 58,152,697,418,422,808
  5. Step 5: Solve for x
    x = 58,152,697,418,422,808/206,695,266.40
  6. Step 6: Final answer
    x = 281,345,085.60

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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.