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Finding the Fourth Proportional to 546,904.40, 819,967.80 and 209,814.80

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Solution

The fourth proportional to 546,904.40, 819,967.80 and 209,814.80 is: 314,573.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,904.40 : 819,967.80 = 209,814.80 : x
  2. Step 2: Convert to fraction form
    546,904.40/819,967.80 = 209,814.80/x
  3. Step 3: Cross multiply
    546,904.40x = 819,967.80 × 209,814.80
  4. Step 4: Simplify right side
    546,904.40x = 172,041,379,963.44
  5. Step 5: Solve for x
    x = 172,041,379,963.44/546,904.40
  6. Step 6: Final answer
    x = 314,573.04

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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.