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Finding the Fourth Proportional to 548,946.40, 822,958.80 and 286,290.40

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Solution

The fourth proportional to 548,946.40, 822,958.80 and 286,290.40 is: 429,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,946.40 : 822,958.80 = 286,290.40 : x
  2. Step 2: Convert to fraction form
    548,946.40/822,958.80 = 286,290.40/x
  3. Step 3: Cross multiply
    548,946.40x = 822,958.80 × 286,290.40
  4. Step 4: Simplify right side
    548,946.40x = 235,605,204,035.52
  5. Step 5: Solve for x
    x = 235,605,204,035.52/548,946.40
  6. Step 6: Final answer
    x = 429,195.28

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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.