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Finding the Fourth Proportional to 585,758.56, 877,634.70 and 319,705.78

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Solution

The fourth proportional to 585,758.56, 877,634.70 and 319,705.78 is: 479,011.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,758.56 : 877,634.70 = 319,705.78 : x
  2. Step 2: Convert to fraction form
    585,758.56/877,634.70 = 319,705.78/x
  3. Step 3: Cross multiply
    585,758.56x = 877,634.70 × 319,705.78
  4. Step 4: Simplify right side
    585,758.56x = 280,584,886,318.57
  5. Step 5: Solve for x
    x = 280,584,886,318.57/585,758.56
  6. Step 6: Final answer
    x = 479,011.16

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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.