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Finding the Fourth Proportional to 378,880.02, 522,851.76 and 209,114.10

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Solution

The fourth proportional to 378,880.02, 522,851.76 and 209,114.10 is: 288,575.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,880.02 : 522,851.76 = 209,114.10 : x
  2. Step 2: Convert to fraction form
    378,880.02/522,851.76 = 209,114.10/x
  3. Step 3: Cross multiply
    378,880.02x = 522,851.76 × 209,114.10
  4. Step 4: Simplify right side
    378,880.02x = 109,335,675,225.82
  5. Step 5: Solve for x
    x = 109,335,675,225.82/378,880.02
  6. Step 6: Final answer
    x = 288,575.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.