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Finding the Fourth Proportional to 566,410.68, 781,668.90 and 311,785.56

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Solution

The fourth proportional to 566,410.68, 781,668.90 and 311,785.56 is: 430,276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,410.68 : 781,668.90 = 311,785.56 : x
  2. Step 2: Convert to fraction form
    566,410.68/781,668.90 = 311,785.56/x
  3. Step 3: Cross multiply
    566,410.68x = 781,668.90 × 311,785.56
  4. Step 4: Simplify right side
    566,410.68x = 243,713,075,721.08
  5. Step 5: Solve for x
    x = 243,713,075,721.08/566,410.68
  6. Step 6: Final answer
    x = 430,276.27

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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.