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Finding the Fourth Proportional to 390,157.56, 585,275.28 and 105,852.57

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Solution

The fourth proportional to 390,157.56, 585,275.28 and 105,852.57 is: 158,789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,157.56 : 585,275.28 = 105,852.57 : x
  2. Step 2: Convert to fraction form
    390,157.56/585,275.28 = 105,852.57/x
  3. Step 3: Cross multiply
    390,157.56x = 585,275.28 × 105,852.57
  4. Step 4: Simplify right side
    390,157.56x = 61,952,892,545.47
  5. Step 5: Solve for x
    x = 61,952,892,545.47/390,157.56
  6. Step 6: Final answer
    x = 158,789.42

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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.