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Finding the Fourth Proportional to 566,710.86, 782,057.16 and 312,060

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Solution

The fourth proportional to 566,710.86, 782,057.16 and 312,060 is: 430,640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,710.86 : 782,057.16 = 312,060 : x
  2. Step 2: Convert to fraction form
    566,710.86/782,057.16 = 312,060/x
  3. Step 3: Cross multiply
    566,710.86x = 782,057.16 × 312,060
  4. Step 4: Simplify right side
    566,710.86x = 244,048,757,349.60
  5. Step 5: Solve for x
    x = 244,048,757,349.60/566,710.86
  6. Step 6: Final answer
    x = 430,640.69

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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.