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Finding the Fourth Proportional to 550,970.40, 826,455.60 and 314,774.40

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Solution

The fourth proportional to 550,970.40, 826,455.60 and 314,774.40 is: 472,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,970.40 : 826,455.60 = 314,774.40 : x
  2. Step 2: Convert to fraction form
    550,970.40/826,455.60 = 314,774.40/x
  3. Step 3: Cross multiply
    550,970.40x = 826,455.60 × 314,774.40
  4. Step 4: Simplify right side
    550,970.40x = 260,147,065,616.64
  5. Step 5: Solve for x
    x = 260,147,065,616.64/550,970.40
  6. Step 6: Final answer
    x = 472,161.60

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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.