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Finding the Fourth Proportional to 307,421.35, 424,242.21 and 171,464.10

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Solution

The fourth proportional to 307,421.35, 424,242.21 and 171,464.10 is: 236,620.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,421.35 : 424,242.21 = 171,464.10 : x
  2. Step 2: Convert to fraction form
    307,421.35/424,242.21 = 171,464.10/x
  3. Step 3: Cross multiply
    307,421.35x = 424,242.21 × 171,464.10
  4. Step 4: Simplify right side
    307,421.35x = 72,742,308,719.66
  5. Step 5: Solve for x
    x = 72,742,308,719.66/307,421.35
  6. Step 6: Final answer
    x = 236,620.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.