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Finding the Fourth Proportional to 316,966.87, 437,276.83 and 209,686.32

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Solution

The fourth proportional to 316,966.87, 437,276.83 and 209,686.32 is: 289,276.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,966.87 : 437,276.83 = 209,686.32 : x
  2. Step 2: Convert to fraction form
    316,966.87/437,276.83 = 209,686.32/x
  3. Step 3: Cross multiply
    316,966.87x = 437,276.83 × 209,686.32
  4. Step 4: Simplify right side
    316,966.87x = 91,690,969,172.91
  5. Step 5: Solve for x
    x = 91,690,969,172.91/316,966.87
  6. Step 6: Final answer
    x = 289,276.19

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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.