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Finding the Fourth Proportional to 315,442.34, 473,238.09 and 102,209.90

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Solution

The fourth proportional to 315,442.34, 473,238.09 and 102,209.90 is: 153,339.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,442.34 : 473,238.09 = 102,209.90 : x
  2. Step 2: Convert to fraction form
    315,442.34/473,238.09 = 102,209.90/x
  3. Step 3: Cross multiply
    315,442.34x = 473,238.09 × 102,209.90
  4. Step 4: Simplify right side
    315,442.34x = 48,369,614,977.85
  5. Step 5: Solve for x
    x = 48,369,614,977.85/315,442.34
  6. Step 6: Final answer
    x = 153,339.01

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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.