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Finding the Fourth Proportional to 390,846.96, 586,182.18 and 198,526.60

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Solution

The fourth proportional to 390,846.96, 586,182.18 and 198,526.60 is: 297,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,846.96 : 586,182.18 = 198,526.60 : x
  2. Step 2: Convert to fraction form
    390,846.96/586,182.18 = 198,526.60/x
  3. Step 3: Cross multiply
    390,846.96x = 586,182.18 × 198,526.60
  4. Step 4: Simplify right side
    390,846.96x = 116,372,756,653.19
  5. Step 5: Solve for x
    x = 116,372,756,653.19/390,846.96
  6. Step 6: Final answer
    x = 297,745.07

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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.