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Finding the Fourth Proportional to 428,470.84, 590,982.70 and 283,108.24

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Solution

The fourth proportional to 428,470.84, 590,982.70 and 283,108.24 is: 390,486.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,470.84 : 590,982.70 = 283,108.24 : x
  2. Step 2: Convert to fraction form
    428,470.84/590,982.70 = 283,108.24/x
  3. Step 3: Cross multiply
    428,470.84x = 590,982.70 × 283,108.24
  4. Step 4: Simplify right side
    428,470.84x = 167,312,068,404.76
  5. Step 5: Solve for x
    x = 167,312,068,404.76/428,470.84
  6. Step 6: Final answer
    x = 390,486.48

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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.