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Finding the Fourth Proportional to 493,898.31, 740,830.59 and 209,405.79

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Solution

The fourth proportional to 493,898.31, 740,830.59 and 209,405.79 is: 314,101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,898.31 : 740,830.59 = 209,405.79 : x
  2. Step 2: Convert to fraction form
    493,898.31/740,830.59 = 209,405.79/x
  3. Step 3: Cross multiply
    493,898.31x = 740,830.59 × 209,405.79
  4. Step 4: Simplify right side
    493,898.31x = 155,134,214,955.12
  5. Step 5: Solve for x
    x = 155,134,214,955.12/493,898.31
  6. Step 6: Final answer
    x = 314,101.53

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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.