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Finding the Fourth Proportional to 509,364.05, 764,038.22 and 130,281.44

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Solution

The fourth proportional to 509,364.05, 764,038.22 and 130,281.44 is: 195,420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,364.05 : 764,038.22 = 130,281.44 : x
  2. Step 2: Convert to fraction form
    509,364.05/764,038.22 = 130,281.44/x
  3. Step 3: Cross multiply
    509,364.05x = 764,038.22 × 130,281.44
  4. Step 4: Simplify right side
    509,364.05x = 99,539,995,045.04
  5. Step 5: Solve for x
    x = 99,539,995,045.04/509,364.05
  6. Step 6: Final answer
    x = 195,420.14

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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.