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Finding the Fourth Proportional to 357,399.60, 535,321.80 and 216,913.20

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Solution

The fourth proportional to 357,399.60, 535,321.80 and 216,913.20 is: 324,897.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,399.60 : 535,321.80 = 216,913.20 : x
  2. Step 2: Convert to fraction form
    357,399.60/535,321.80 = 216,913.20/x
  3. Step 3: Cross multiply
    357,399.60x = 535,321.80 × 216,913.20
  4. Step 4: Simplify right side
    357,399.60x = 116,118,364,667.76
  5. Step 5: Solve for x
    x = 116,118,364,667.76/357,399.60
  6. Step 6: Final answer
    x = 324,897.86

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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.