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Finding the Fourth Proportional to 566,685, 782,025.30 and 312,035.58

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Solution

The fourth proportional to 566,685, 782,025.30 and 312,035.58 is: 430,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,685 : 782,025.30 = 312,035.58 : x
  2. Step 2: Convert to fraction form
    566,685/782,025.30 = 312,035.58/x
  3. Step 3: Cross multiply
    566,685x = 782,025.30 × 312,035.58
  4. Step 4: Simplify right side
    566,685x = 244,019,718,060.17
  5. Step 5: Solve for x
    x = 244,019,718,060.17/566,685
  6. Step 6: Final answer
    x = 430,609.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.