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Finding the Fourth Proportional to 509,765.76, 764,599.14 and 154,782.81

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Solution

The fourth proportional to 509,765.76, 764,599.14 and 154,782.81 is: 232,159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,765.76 : 764,599.14 = 154,782.81 : x
  2. Step 2: Convert to fraction form
    509,765.76/764,599.14 = 154,782.81/x
  3. Step 3: Cross multiply
    509,765.76x = 764,599.14 × 154,782.81
  4. Step 4: Simplify right side
    509,765.76x = 118,346,803,412.78
  5. Step 5: Solve for x
    x = 118,346,803,412.78/509,765.76
  6. Step 6: Final answer
    x = 232,159.19

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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.