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Finding the Fourth Proportional to 525,292.40, 787,708.20 and 209,644.40

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Solution

The fourth proportional to 525,292.40, 787,708.20 and 209,644.40 is: 314,374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,292.40 : 787,708.20 = 209,644.40 : x
  2. Step 2: Convert to fraction form
    525,292.40/787,708.20 = 209,644.40/x
  3. Step 3: Cross multiply
    525,292.40x = 787,708.20 × 209,644.40
  4. Step 4: Simplify right side
    525,292.40x = 165,138,612,964.08
  5. Step 5: Solve for x
    x = 165,138,612,964.08/525,292.40
  6. Step 6: Final answer
    x = 314,374.65

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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.