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Finding the Fourth Proportional to 405,455.54, 559,405.84 and 282,944.66

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Solution

The fourth proportional to 405,455.54, 559,405.84 and 282,944.66 is: 390,377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,455.54 : 559,405.84 = 282,944.66 : x
  2. Step 2: Convert to fraction form
    405,455.54/559,405.84 = 282,944.66/x
  3. Step 3: Cross multiply
    405,455.54x = 559,405.84 × 282,944.66
  4. Step 4: Simplify right side
    405,455.54x = 158,280,895,200.81
  5. Step 5: Solve for x
    x = 158,280,895,200.81/405,455.54
  6. Step 6: Final answer
    x = 390,377.93

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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.