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Finding the Fourth Proportional to 546,764.80, 820,276.80 and 280,566.40

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Solution

The fourth proportional to 546,764.80, 820,276.80 and 280,566.40 is: 420,916.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,764.80 : 820,276.80 = 280,566.40 : x
  2. Step 2: Convert to fraction form
    546,764.80/820,276.80 = 280,566.40/x
  3. Step 3: Cross multiply
    546,764.80x = 820,276.80 × 280,566.40
  4. Step 4: Simplify right side
    546,764.80x = 230,142,108,779.52
  5. Step 5: Solve for x
    x = 230,142,108,779.52/546,764.80
  6. Step 6: Final answer
    x = 420,916.10

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1.5x scale

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.