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Finding the Fourth Proportional to 410,396.08, 566,356.12 and 257,440.72

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Solution

The fourth proportional to 410,396.08, 566,356.12 and 257,440.72 is: 355,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,396.08 : 566,356.12 = 257,440.72 : x
  2. Step 2: Convert to fraction form
    410,396.08/566,356.12 = 257,440.72/x
  3. Step 3: Cross multiply
    410,396.08x = 566,356.12 × 257,440.72
  4. Step 4: Simplify right side
    410,396.08x = 145,803,127,309.21
  5. Step 5: Solve for x
    x = 145,803,127,309.21/410,396.08
  6. Step 6: Final answer
    x = 355,274.17

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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.