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Finding the Fourth Proportional to 405,312.46, 559,041.06 and 284,480.74

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Solution

The fourth proportional to 405,312.46, 559,041.06 and 284,480.74 is: 392,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,312.46 : 559,041.06 = 284,480.74 : x
  2. Step 2: Convert to fraction form
    405,312.46/559,041.06 = 284,480.74/x
  3. Step 3: Cross multiply
    405,312.46x = 559,041.06 × 284,480.74
  4. Step 4: Simplify right side
    405,312.46x = 159,036,414,439.18
  5. Step 5: Solve for x
    x = 159,036,414,439.18/405,312.46
  6. Step 6: Final answer
    x = 392,379.78

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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.