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Finding the Fourth Proportional to 810,000.10, 1,215,000.15 and 770,634.10

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Solution

The fourth proportional to 810,000.10, 1,215,000.15 and 770,634.10 is: 1,155,951.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,000.10 : 1,215,000.15 = 770,634.10 : x
  2. Step 2: Convert to fraction form
    810,000.10/1,215,000.15 = 770,634.10/x
  3. Step 3: Cross multiply
    810,000.10x = 1,215,000.15 × 770,634.10
  4. Step 4: Simplify right side
    810,000.10x = 936,320,547,095.12
  5. Step 5: Solve for x
    x = 936,320,547,095.12/810,000.10
  6. Step 6: Final answer
    x = 1,155,951.15

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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.