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Finding the Fourth Proportional to 613,352.78, 920,217.42 and 314,043.50

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Solution

The fourth proportional to 613,352.78, 920,217.42 and 314,043.50 is: 471,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,352.78 : 920,217.42 = 314,043.50 : x
  2. Step 2: Convert to fraction form
    613,352.78/920,217.42 = 314,043.50/x
  3. Step 3: Cross multiply
    613,352.78x = 920,217.42 × 314,043.50
  4. Step 4: Simplify right side
    613,352.78x = 288,988,301,638.31
  5. Step 5: Solve for x
    x = 288,988,301,638.31/613,352.78
  6. Step 6: Final answer
    x = 471,161.64

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1.5x scale

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.