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Finding the Fourth Proportional to 493,572.74, 740,211.98 and 209,258.72

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Solution

The fourth proportional to 493,572.74, 740,211.98 and 209,258.72 is: 313,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,572.74 : 740,211.98 = 209,258.72 : x
  2. Step 2: Convert to fraction form
    493,572.74/740,211.98 = 209,258.72/x
  3. Step 3: Cross multiply
    493,572.74x = 740,211.98 × 209,258.72
  4. Step 4: Simplify right side
    493,572.74x = 154,895,812,267.70
  5. Step 5: Solve for x
    x = 154,895,812,267.70/493,572.74
  6. Step 6: Final answer
    x = 313,825.70

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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.