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Finding the Fourth Proportional to 390,762.81, 586,062.20 and 110,214.45

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Solution

The fourth proportional to 390,762.81, 586,062.20 and 110,214.45 is: 165,298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,762.81 : 586,062.20 = 110,214.45 : x
  2. Step 2: Convert to fraction form
    390,762.81/586,062.20 = 110,214.45/x
  3. Step 3: Cross multiply
    390,762.81x = 586,062.20 × 110,214.45
  4. Step 4: Simplify right side
    390,762.81x = 64,592,521,201.06
  5. Step 5: Solve for x
    x = 64,592,521,201.06/390,762.81
  6. Step 6: Final answer
    x = 165,298.54

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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.