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Finding the Fourth Proportional to 390,157.19, 585,274.72 and 105,852.20

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Solution

The fourth proportional to 390,157.19, 585,274.72 and 105,852.20 is: 158,788.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,157.19 : 585,274.72 = 105,852.20 : x
  2. Step 2: Convert to fraction form
    390,157.19/585,274.72 = 105,852.20/x
  3. Step 3: Cross multiply
    390,157.19x = 585,274.72 × 105,852.20
  4. Step 4: Simplify right side
    390,157.19x = 61,952,613,525.38
  5. Step 5: Solve for x
    x = 61,952,613,525.38/390,157.19
  6. Step 6: Final answer
    x = 158,788.86

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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.