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Finding the Fourth Proportional to 551,508.46, 761,052.42 and 309,801.22

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Solution

The fourth proportional to 551,508.46, 761,052.42 and 309,801.22 is: 427,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,508.46 : 761,052.42 = 309,801.22 : x
  2. Step 2: Convert to fraction form
    551,508.46/761,052.42 = 309,801.22/x
  3. Step 3: Cross multiply
    551,508.46x = 761,052.42 × 309,801.22
  4. Step 4: Simplify right side
    551,508.46x = 235,774,968,199.95
  5. Step 5: Solve for x
    x = 235,774,968,199.95/551,508.46
  6. Step 6: Final answer
    x = 427,509.25

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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.