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Finding the Fourth Proportional to 338,435.40, 507,458.70 and 101,742.60

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Solution

The fourth proportional to 338,435.40, 507,458.70 and 101,742.60 is: 152,555.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,435.40 : 507,458.70 = 101,742.60 : x
  2. Step 2: Convert to fraction form
    338,435.40/507,458.70 = 101,742.60/x
  3. Step 3: Cross multiply
    338,435.40x = 507,458.70 × 101,742.60
  4. Step 4: Simplify right side
    338,435.40x = 51,630,167,530.62
  5. Step 5: Solve for x
    x = 51,630,167,530.62/338,435.40
  6. Step 6: Final answer
    x = 152,555.46

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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.