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Finding the Fourth Proportional to 509,798.42, 764,698.85 and 154,815.11

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Solution

The fourth proportional to 509,798.42, 764,698.85 and 154,815.11 is: 232,223.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,798.42 : 764,698.85 = 154,815.11 : x
  2. Step 2: Convert to fraction form
    509,798.42/764,698.85 = 154,815.11/x
  3. Step 3: Cross multiply
    509,798.42x = 764,698.85 × 154,815.11
  4. Step 4: Simplify right side
    509,798.42x = 118,386,931,982.05
  5. Step 5: Solve for x
    x = 118,386,931,982.05/509,798.42
  6. Step 6: Final answer
    x = 232,223.03

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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.