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Finding the Fourth Proportional to 210,009.30, 315,013.95 and 135,213.90

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Solution

The fourth proportional to 210,009.30, 315,013.95 and 135,213.90 is: 202,820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,009.30 : 315,013.95 = 135,213.90 : x
  2. Step 2: Convert to fraction form
    210,009.30/315,013.95 = 135,213.90/x
  3. Step 3: Cross multiply
    210,009.30x = 315,013.95 × 135,213.90
  4. Step 4: Simplify right side
    210,009.30x = 42,594,264,733.91
  5. Step 5: Solve for x
    x = 42,594,264,733.91/210,009.30
  6. Step 6: Final answer
    x = 202,820.85

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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.