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Finding the Fourth Proportional to 338,158.53, 507,315.56 and 101,505.69

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Solution

The fourth proportional to 338,158.53, 507,315.56 and 101,505.69 is: 152,281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,158.53 : 507,315.56 = 101,505.69 : x
  2. Step 2: Convert to fraction form
    338,158.53/507,315.56 = 101,505.69/x
  3. Step 3: Cross multiply
    338,158.53x = 507,315.56 × 101,505.69
  4. Step 4: Simplify right side
    338,158.53x = 51,495,415,458.01
  5. Step 5: Solve for x
    x = 51,495,415,458.01/338,158.53
  6. Step 6: Final answer
    x = 152,281.88

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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.