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Finding the Fourth Proportional to 525,145.60, 787,718.40 and 209,651.20

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Solution

The fourth proportional to 525,145.60, 787,718.40 and 209,651.20 is: 314,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,145.60 : 787,718.40 = 209,651.20 : x
  2. Step 2: Convert to fraction form
    525,145.60/787,718.40 = 209,651.20/x
  3. Step 3: Cross multiply
    525,145.60x = 787,718.40 × 209,651.20
  4. Step 4: Simplify right side
    525,145.60x = 165,146,107,822.08
  5. Step 5: Solve for x
    x = 165,146,107,822.08/525,145.60
  6. Step 6: Final answer
    x = 314,476.80

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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.