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Finding the Fourth Proportional to 390,157.81, 585,275.66 and 105,852.82

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Solution

The fourth proportional to 390,157.81, 585,275.66 and 105,852.82 is: 158,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,157.81 : 585,275.66 = 105,852.82 : x
  2. Step 2: Convert to fraction form
    390,157.81/585,275.66 = 105,852.82/x
  3. Step 3: Cross multiply
    390,157.81x = 585,275.66 × 105,852.82
  4. Step 4: Simplify right side
    390,157.81x = 61,953,079,088.36
  5. Step 5: Solve for x
    x = 61,953,079,088.36/390,157.81
  6. Step 6: Final answer
    x = 158,789.80

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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.