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Finding the Fourth Proportional to 564,235.86, 778,659.81 and 309,586.98

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Solution

The fourth proportional to 564,235.86, 778,659.81 and 309,586.98 is: 427,237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,235.86 : 778,659.81 = 309,586.98 : x
  2. Step 2: Convert to fraction form
    564,235.86/778,659.81 = 309,586.98/x
  3. Step 3: Cross multiply
    564,235.86x = 778,659.81 × 309,586.98
  4. Step 4: Simplify right side
    564,235.86x = 241,062,939,025.27
  5. Step 5: Solve for x
    x = 241,062,939,025.27/564,235.86
  6. Step 6: Final answer
    x = 427,237.89

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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.