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Finding the Fourth Proportional to 312,304.34, 430,981.36 and 169,064.38

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Solution

The fourth proportional to 312,304.34, 430,981.36 and 169,064.38 is: 233,309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,304.34 : 430,981.36 = 169,064.38 : x
  2. Step 2: Convert to fraction form
    312,304.34/430,981.36 = 169,064.38/x
  3. Step 3: Cross multiply
    312,304.34x = 430,981.36 × 169,064.38
  4. Step 4: Simplify right side
    312,304.34x = 72,863,596,536.02
  5. Step 5: Solve for x
    x = 72,863,596,536.02/312,304.34
  6. Step 6: Final answer
    x = 233,309.58

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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.