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Finding the Fourth Proportional to 551,675.10, 761,312.31 and 309,957.54

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Solution

The fourth proportional to 551,675.10, 761,312.31 and 309,957.54 is: 427,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,675.10 : 761,312.31 = 309,957.54 : x
  2. Step 2: Convert to fraction form
    551,675.10/761,312.31 = 309,957.54/x
  3. Step 3: Cross multiply
    551,675.10x = 761,312.31 × 309,957.54
  4. Step 4: Simplify right side
    551,675.10x = 235,974,486,972.76
  5. Step 5: Solve for x
    x = 235,974,486,972.76/551,675.10
  6. Step 6: Final answer
    x = 427,741.78

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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.