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Finding the Fourth Proportional to 313,494.16, 432,621.84 and 170,254.32

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Solution

The fourth proportional to 313,494.16, 432,621.84 and 170,254.32 is: 234,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,494.16 : 432,621.84 = 170,254.32 : x
  2. Step 2: Convert to fraction form
    313,494.16/432,621.84 = 170,254.32/x
  3. Step 3: Cross multiply
    313,494.16x = 432,621.84 × 170,254.32
  4. Step 4: Simplify right side
    313,494.16x = 73,655,737,186.35
  5. Step 5: Solve for x
    x = 73,655,737,186.35/313,494.16
  6. Step 6: Final answer
    x = 234,950.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.