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Finding the Fourth Proportional to 309,161.46, 463,654.71 and 140,587.50

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Solution

The fourth proportional to 309,161.46, 463,654.71 and 140,587.50 is: 210,841.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,161.46 : 463,654.71 = 140,587.50 : x
  2. Step 2: Convert to fraction form
    309,161.46/463,654.71 = 140,587.50/x
  3. Step 3: Cross multiply
    309,161.46x = 463,654.71 × 140,587.50
  4. Step 4: Simplify right side
    309,161.46x = 65,184,056,542.13
  5. Step 5: Solve for x
    x = 65,184,056,542.13/309,161.46
  6. Step 6: Final answer
    x = 210,841.47

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1.5x scale

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.