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Finding the Fourth Proportional to 357,155.60, 492,890.10 and 213,888.20

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Solution

The fourth proportional to 357,155.60, 492,890.10 and 213,888.20 is: 295,174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,155.60 : 492,890.10 = 213,888.20 : x
  2. Step 2: Convert to fraction form
    357,155.60/492,890.10 = 213,888.20/x
  3. Step 3: Cross multiply
    357,155.60x = 492,890.10 × 213,888.20
  4. Step 4: Simplify right side
    357,155.60x = 105,423,376,286.82
  5. Step 5: Solve for x
    x = 105,423,376,286.82/357,155.60
  6. Step 6: Final answer
    x = 295,174.92

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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.