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Finding the Fourth Proportional to 509,521.83, 764,284.56 and 154,538.92

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Solution

The fourth proportional to 509,521.83, 764,284.56 and 154,538.92 is: 231,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,521.83 : 764,284.56 = 154,538.92 : x
  2. Step 2: Convert to fraction form
    509,521.83/764,284.56 = 154,538.92/x
  3. Step 3: Cross multiply
    509,521.83x = 764,284.56 × 154,538.92
  4. Step 4: Simplify right side
    509,521.83x = 118,111,710,475.08
  5. Step 5: Solve for x
    x = 118,111,710,475.08/509,521.83
  6. Step 6: Final answer
    x = 231,808.93

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.