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Finding the Fourth Proportional to 312,307.46, 430,980.72 and 169,064.36

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Solution

The fourth proportional to 312,307.46, 430,980.72 and 169,064.36 is: 233,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,307.46 : 430,980.72 = 169,064.36 : x
  2. Step 2: Convert to fraction form
    312,307.46/430,980.72 = 169,064.36/x
  3. Step 3: Cross multiply
    312,307.46x = 430,980.72 × 169,064.36
  4. Step 4: Simplify right side
    312,307.46x = 72,863,479,599.14
  5. Step 5: Solve for x
    x = 72,863,479,599.14/312,307.46
  6. Step 6: Final answer
    x = 233,306.88

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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.