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Finding the Fourth Proportional to 412,522.79, 618,784.72 and 113,006

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Solution

The fourth proportional to 412,522.79, 618,784.72 and 113,006 is: 169,509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,522.79 : 618,784.72 = 113,006 : x
  2. Step 2: Convert to fraction form
    412,522.79/618,784.72 = 113,006/x
  3. Step 3: Cross multiply
    412,522.79x = 618,784.72 × 113,006
  4. Step 4: Simplify right side
    412,522.79x = 69,926,386,068.32
  5. Step 5: Solve for x
    x = 69,926,386,068.32/412,522.79
  6. Step 6: Final answer
    x = 169,509.15

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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.