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Finding the Fourth Proportional to 525,306.40, 787,729.20 and 209,658.40

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Solution

The fourth proportional to 525,306.40, 787,729.20 and 209,658.40 is: 314,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,306.40 : 787,729.20 = 209,658.40 : x
  2. Step 2: Convert to fraction form
    525,306.40/787,729.20 = 209,658.40/x
  3. Step 3: Cross multiply
    525,306.40x = 787,729.20 × 209,658.40
  4. Step 4: Simplify right side
    525,306.40x = 165,154,043,705.28
  5. Step 5: Solve for x
    x = 165,154,043,705.28/525,306.40
  6. Step 6: Final answer
    x = 314,395.64

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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.