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Finding the Fourth Proportional to 357,438.42, 493,264.79 and 196,303.60

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Solution

The fourth proportional to 357,438.42, 493,264.79 and 196,303.60 is: 270,898.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,438.42 : 493,264.79 = 196,303.60 : x
  2. Step 2: Convert to fraction form
    357,438.42/493,264.79 = 196,303.60/x
  3. Step 3: Cross multiply
    357,438.42x = 493,264.79 × 196,303.60
  4. Step 4: Simplify right side
    357,438.42x = 96,829,654,401.45
  5. Step 5: Solve for x
    x = 96,829,654,401.45/357,438.42
  6. Step 6: Final answer
    x = 270,898.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.