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Finding the Fourth Proportional to 370,967.32, 511,946.49 and 209,819.22

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Solution

The fourth proportional to 370,967.32, 511,946.49 and 209,819.22 is: 289,557.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,967.32 : 511,946.49 = 209,819.22 : x
  2. Step 2: Convert to fraction form
    370,967.32/511,946.49 = 209,819.22/x
  3. Step 3: Cross multiply
    370,967.32x = 511,946.49 × 209,819.22
  4. Step 4: Simplify right side
    370,967.32x = 107,416,210,653.81
  5. Step 5: Solve for x
    x = 107,416,210,653.81/370,967.32
  6. Step 6: Final answer
    x = 289,557.07

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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.