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Finding the Fourth Proportional to 427,980.52, 590,803.86 and 282,873.70

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Solution

The fourth proportional to 427,980.52, 590,803.86 and 282,873.70 is: 390,491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,980.52 : 590,803.86 = 282,873.70 : x
  2. Step 2: Convert to fraction form
    427,980.52/590,803.86 = 282,873.70/x
  3. Step 3: Cross multiply
    427,980.52x = 590,803.86 × 282,873.70
  4. Step 4: Simplify right side
    427,980.52x = 167,122,873,852.48
  5. Step 5: Solve for x
    x = 167,122,873,852.48/427,980.52
  6. Step 6: Final answer
    x = 390,491.78

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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.