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Finding the Fourth Proportional to 390,765.81, 586,066.70 and 110,217.45

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Solution

The fourth proportional to 390,765.81, 586,066.70 and 110,217.45 is: 165,303.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,765.81 : 586,066.70 = 110,217.45 : x
  2. Step 2: Convert to fraction form
    390,765.81/586,066.70 = 110,217.45/x
  3. Step 3: Cross multiply
    390,765.81x = 586,066.70 × 110,217.45
  4. Step 4: Simplify right side
    390,765.81x = 64,594,776,652.83
  5. Step 5: Solve for x
    x = 64,594,776,652.83/390,765.81
  6. Step 6: Final answer
    x = 165,303.04

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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.