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Finding the Fourth Proportional to 493,913.32, 740,853.12 and 209,420.74

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Solution

The fourth proportional to 493,913.32, 740,853.12 and 209,420.74 is: 314,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,913.32 : 740,853.12 = 209,420.74 : x
  2. Step 2: Convert to fraction form
    493,913.32/740,853.12 = 209,420.74/x
  3. Step 3: Cross multiply
    493,913.32x = 740,853.12 × 209,420.74
  4. Step 4: Simplify right side
    493,913.32x = 155,150,008,621.71
  5. Step 5: Solve for x
    x = 155,150,008,621.71/493,913.32
  6. Step 6: Final answer
    x = 314,123.96

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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.