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Finding the Fourth Proportional to 551,382, 760,924.29 and 309,669.81

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Solution

The fourth proportional to 551,382, 760,924.29 and 309,669.81 is: 427,353.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,382 : 760,924.29 = 309,669.81 : x
  2. Step 2: Convert to fraction form
    551,382/760,924.29 = 309,669.81/x
  3. Step 3: Cross multiply
    551,382x = 760,924.29 × 309,669.81
  4. Step 4: Simplify right side
    551,382x = 235,635,280,308.69
  5. Step 5: Solve for x
    x = 235,635,280,308.69/551,382
  6. Step 6: Final answer
    x = 427,353.96

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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.