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Finding the Fourth Proportional to 551,318.40, 826,363.20 and 314,774.40

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Solution

The fourth proportional to 551,318.40, 826,363.20 and 314,774.40 is: 471,810.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,318.40 : 826,363.20 = 314,774.40 : x
  2. Step 2: Convert to fraction form
    551,318.40/826,363.20 = 314,774.40/x
  3. Step 3: Cross multiply
    551,318.40x = 826,363.20 × 314,774.40
  4. Step 4: Simplify right side
    551,318.40x = 260,117,980,462.08
  5. Step 5: Solve for x
    x = 260,117,980,462.08/551,318.40
  6. Step 6: Final answer
    x = 471,810.81

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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.