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Finding the Fourth Proportional to 546,428.70, 819,643.05 and 280,708.20

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Solution

The fourth proportional to 546,428.70, 819,643.05 and 280,708.20 is: 421,062.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,428.70 : 819,643.05 = 280,708.20 : x
  2. Step 2: Convert to fraction form
    546,428.70/819,643.05 = 280,708.20/x
  3. Step 3: Cross multiply
    546,428.70x = 819,643.05 × 280,708.20
  4. Step 4: Simplify right side
    546,428.70x = 230,080,525,208.01
  5. Step 5: Solve for x
    x = 230,080,525,208.01/546,428.70
  6. Step 6: Final answer
    x = 421,062.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.