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Finding the Fourth Proportional to 546,885.19, 820,615.81 and 280,645.72

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Solution

The fourth proportional to 546,885.19, 820,615.81 and 280,645.72 is: 421,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,885.19 : 820,615.81 = 280,645.72 : x
  2. Step 2: Convert to fraction form
    546,885.19/820,615.81 = 280,645.72/x
  3. Step 3: Cross multiply
    546,885.19x = 820,615.81 × 280,645.72
  4. Step 4: Simplify right side
    546,885.19x = 230,302,314,840.83
  5. Step 5: Solve for x
    x = 230,302,314,840.83/546,885.19
  6. Step 6: Final answer
    x = 421,116.39

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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.