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Finding the Fourth Proportional to 231,712.40, 346,985.40 and 152,397.20

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Solution

The fourth proportional to 231,712.40, 346,985.40 and 152,397.20 is: 228,212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,712.40 : 346,985.40 = 152,397.20 : x
  2. Step 2: Convert to fraction form
    231,712.40/346,985.40 = 152,397.20/x
  3. Step 3: Cross multiply
    231,712.40x = 346,985.40 × 152,397.20
  4. Step 4: Simplify right side
    231,712.40x = 52,879,603,400.88
  5. Step 5: Solve for x
    x = 52,879,603,400.88/231,712.40
  6. Step 6: Final answer
    x = 228,212.23

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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.