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Finding the Fourth Proportional to 405,454.54, 559,404.46 and 282,943.66

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Solution

The fourth proportional to 405,454.54, 559,404.46 and 282,943.66 is: 390,376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,454.54 : 559,404.46 = 282,943.66 : x
  2. Step 2: Convert to fraction form
    405,454.54/559,404.46 = 282,943.66/x
  3. Step 3: Cross multiply
    405,454.54x = 559,404.46 × 282,943.66
  4. Step 4: Simplify right side
    405,454.54x = 158,279,945,332.72
  5. Step 5: Solve for x
    x = 158,279,945,332.72/405,454.54
  6. Step 6: Final answer
    x = 390,376.55

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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.