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Finding the Fourth Proportional to 862,285,765.10, 1,293,428,647.65 and 853,215,838.70

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Solution

The fourth proportional to 862,285,765.10, 1,293,428,647.65 and 853,215,838.70 is: 1,279,823,758.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,285,765.10 : 1,293,428,647.65 = 853,215,838.70 : x
  2. Step 2: Convert to fraction form
    862,285,765.10/1,293,428,647.65 = 853,215,838.70/x
  3. Step 3: Cross multiply
    862,285,765.10x = 1,293,428,647.65 × 853,215,838.70
  4. Step 4: Simplify right side
    862,285,765.10x = 1,103,573,808,403,301,632
  5. Step 5: Solve for x
    x = 1,103,573,808,403,301,632/862,285,765.10
  6. Step 6: Final answer
    x = 1,279,823,758.05

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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.