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Finding the Fourth Proportional to 317,004.17, 437,210.67 and 278,681.78

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Solution

The fourth proportional to 317,004.17, 437,210.67 and 278,681.78 is: 384,356.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,004.17 : 437,210.67 = 278,681.78 : x
  2. Step 2: Convert to fraction form
    317,004.17/437,210.67 = 278,681.78/x
  3. Step 3: Cross multiply
    317,004.17x = 437,210.67 × 278,681.78
  4. Step 4: Simplify right side
    317,004.17x = 121,842,647,750.59
  5. Step 5: Solve for x
    x = 121,842,647,750.59/317,004.17
  6. Step 6: Final answer
    x = 384,356.61

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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.