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Finding the Fourth Proportional to 312,461.85, 431,192.25 and 169,220.64

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Solution

The fourth proportional to 312,461.85, 431,192.25 and 169,220.64 is: 233,521.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,461.85 : 431,192.25 = 169,220.64 : x
  2. Step 2: Convert to fraction form
    312,461.85/431,192.25 = 169,220.64/x
  3. Step 3: Cross multiply
    312,461.85x = 431,192.25 × 169,220.64
  4. Step 4: Simplify right side
    312,461.85x = 72,966,628,508.04
  5. Step 5: Solve for x
    x = 72,966,628,508.04/312,461.85
  6. Step 6: Final answer
    x = 233,521.72

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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.