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Finding the Fourth Proportional to 551,542.75, 761,046.08 and 309,779.01

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Solution

The fourth proportional to 551,542.75, 761,046.08 and 309,779.01 is: 427,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,542.75 : 761,046.08 = 309,779.01 : x
  2. Step 2: Convert to fraction form
    551,542.75/761,046.08 = 309,779.01/x
  3. Step 3: Cross multiply
    551,542.75x = 761,046.08 × 309,779.01
  4. Step 4: Simplify right side
    551,542.75x = 235,756,102,001.23
  5. Step 5: Solve for x
    x = 235,756,102,001.23/551,542.75
  6. Step 6: Final answer
    x = 427,448.47

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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.