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Finding the Fourth Proportional to 509,756.55, 764,585.47 and 154,773.65

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Solution

The fourth proportional to 509,756.55, 764,585.47 and 154,773.65 is: 232,145.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,756.55 : 764,585.47 = 154,773.65 : x
  2. Step 2: Convert to fraction form
    509,756.55/764,585.47 = 154,773.65/x
  3. Step 3: Cross multiply
    509,756.55x = 764,585.47 × 154,773.65
  4. Step 4: Simplify right side
    509,756.55x = 118,337,679,332.07
  5. Step 5: Solve for x
    x = 118,337,679,332.07/509,756.55
  6. Step 6: Final answer
    x = 232,145.48

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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.