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Finding the Fourth Proportional to 885,744,005.80, 1,328,616,008.70 and 821,246,751.40

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Solution

The fourth proportional to 885,744,005.80, 1,328,616,008.70 and 821,246,751.40 is: 1,231,870,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    885,744,005.80 : 1,328,616,008.70 = 821,246,751.40 : x
  2. Step 2: Convert to fraction form
    885,744,005.80/1,328,616,008.70 = 821,246,751.40/x
  3. Step 3: Cross multiply
    885,744,005.80x = 1,328,616,008.70 × 821,246,751.40
  4. Step 4: Simplify right side
    885,744,005.80x = 1,091,121,581,002,909,184
  5. Step 5: Solve for x
    x = 1,091,121,581,002,909,184/885,744,005.80
  6. Step 6: Final answer
    x = 1,231,870,127.10

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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.