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Finding the Fourth Proportional to 409,116.86, 564,594.12 and 225,368.77

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Solution

The fourth proportional to 409,116.86, 564,594.12 and 225,368.77 is: 311,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,116.86 : 564,594.12 = 225,368.77 : x
  2. Step 2: Convert to fraction form
    409,116.86/564,594.12 = 225,368.77/x
  3. Step 3: Cross multiply
    409,116.86x = 564,594.12 × 225,368.77
  4. Step 4: Simplify right side
    409,116.86x = 127,241,879,550.66
  5. Step 5: Solve for x
    x = 127,241,879,550.66/409,116.86
  6. Step 6: Final answer
    x = 311,015.98

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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.