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Finding the Fourth Proportional to 492,709.60, 739,258.80 and 193,139.20

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Solution

The fourth proportional to 492,709.60, 739,258.80 and 193,139.20 is: 289,785.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,709.60 : 739,258.80 = 193,139.20 : x
  2. Step 2: Convert to fraction form
    492,709.60/739,258.80 = 193,139.20/x
  3. Step 3: Cross multiply
    492,709.60x = 739,258.80 × 193,139.20
  4. Step 4: Simplify right side
    492,709.60x = 142,779,853,224.96
  5. Step 5: Solve for x
    x = 142,779,853,224.96/492,709.60
  6. Step 6: Final answer
    x = 289,785.00

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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.