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Finding the Fourth Proportional to 405,451.54, 559,400.33 and 282,940.66

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Solution

The fourth proportional to 405,451.54, 559,400.33 and 282,940.66 is: 390,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,451.54 : 559,400.33 = 282,940.66 : x
  2. Step 2: Convert to fraction form
    405,451.54/559,400.33 = 282,940.66/x
  3. Step 3: Cross multiply
    405,451.54x = 559,400.33 × 282,940.66
  4. Step 4: Simplify right side
    405,451.54x = 158,277,094,362.71
  5. Step 5: Solve for x
    x = 158,277,094,362.71/405,451.54
  6. Step 6: Final answer
    x = 390,372.41

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1.5x scale

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.