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Finding the Fourth Proportional to 315,029.55, 472,421.48 and 137,415.45

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Solution

The fourth proportional to 315,029.55, 472,421.48 and 137,415.45 is: 206,069.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,029.55 : 472,421.48 = 137,415.45 : x
  2. Step 2: Convert to fraction form
    315,029.55/472,421.48 = 137,415.45/x
  3. Step 3: Cross multiply
    315,029.55x = 472,421.48 × 137,415.45
  4. Step 4: Simplify right side
    315,029.55x = 64,918,009,576.79
  5. Step 5: Solve for x
    x = 64,918,009,576.79/315,029.55
  6. Step 6: Final answer
    x = 206,069.59

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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.