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Finding the Fourth Proportional to 493,877.40, 740,232.90 and 209,567.40

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Solution

The fourth proportional to 493,877.40, 740,232.90 and 209,567.40 is: 314,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,877.40 : 740,232.90 = 209,567.40 : x
  2. Step 2: Convert to fraction form
    493,877.40/740,232.90 = 209,567.40/x
  3. Step 3: Cross multiply
    493,877.40x = 740,232.90 × 209,567.40
  4. Step 4: Simplify right side
    493,877.40x = 155,128,684,247.46
  5. Step 5: Solve for x
    x = 155,128,684,247.46/493,877.40
  6. Step 6: Final answer
    x = 314,103.63

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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.