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Finding the Fourth Proportional to 525,335.40, 787,772.70 and 209,687.40

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Solution

The fourth proportional to 525,335.40, 787,772.70 and 209,687.40 is: 314,439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,335.40 : 787,772.70 = 209,687.40 : x
  2. Step 2: Convert to fraction form
    525,335.40/787,772.70 = 209,687.40/x
  3. Step 3: Cross multiply
    525,335.40x = 787,772.70 × 209,687.40
  4. Step 4: Simplify right side
    525,335.40x = 165,186,009,253.98
  5. Step 5: Solve for x
    x = 165,186,009,253.98/525,335.40
  6. Step 6: Final answer
    x = 314,439.14

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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.