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Finding the Fourth Proportional to 357,144.95, 492,827.40 and 211,925.66

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Solution

The fourth proportional to 357,144.95, 492,827.40 and 211,925.66 is: 292,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,144.95 : 492,827.40 = 211,925.66 : x
  2. Step 2: Convert to fraction form
    357,144.95/492,827.40 = 211,925.66/x
  3. Step 3: Cross multiply
    357,144.95x = 492,827.40 × 211,925.66
  4. Step 4: Simplify right side
    357,144.95x = 104,442,769,546.95
  5. Step 5: Solve for x
    x = 104,442,769,546.95/357,144.95
  6. Step 6: Final answer
    x = 292,438.05

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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.