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Finding the Fourth Proportional to 297,931.65, 446,299.11 and 137,783.10

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Solution

The fourth proportional to 297,931.65, 446,299.11 and 137,783.10 is: 206,397.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,931.65 : 446,299.11 = 137,783.10 : x
  2. Step 2: Convert to fraction form
    297,931.65/446,299.11 = 137,783.10/x
  3. Step 3: Cross multiply
    297,931.65x = 446,299.11 × 137,783.10
  4. Step 4: Simplify right side
    297,931.65x = 61,492,474,903.04
  5. Step 5: Solve for x
    x = 61,492,474,903.04/297,931.65
  6. Step 6: Final answer
    x = 206,397.93

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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.