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Finding the Fourth Proportional to 493,046.40, 738,014.40 and 353,078.40

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Solution

The fourth proportional to 493,046.40, 738,014.40 and 353,078.40 is: 528,503.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,046.40 : 738,014.40 = 353,078.40 : x
  2. Step 2: Convert to fraction form
    493,046.40/738,014.40 = 353,078.40/x
  3. Step 3: Cross multiply
    493,046.40x = 738,014.40 × 353,078.40
  4. Step 4: Simplify right side
    493,046.40x = 260,576,943,528.96
  5. Step 5: Solve for x
    x = 260,576,943,528.96/493,046.40
  6. Step 6: Final answer
    x = 528,503.90

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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.