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Finding the Fourth Proportional to 315,621.60, 473,029.20 and 128,421.60

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Solution

The fourth proportional to 315,621.60, 473,029.20 and 128,421.60 is: 192,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,621.60 : 473,029.20 = 128,421.60 : x
  2. Step 2: Convert to fraction form
    315,621.60/473,029.20 = 128,421.60/x
  3. Step 3: Cross multiply
    315,621.60x = 473,029.20 × 128,421.60
  4. Step 4: Simplify right side
    315,621.60x = 60,747,166,710.72
  5. Step 5: Solve for x
    x = 60,747,166,710.72/315,621.60
  6. Step 6: Final answer
    x = 192,468.34

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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.