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Finding the Fourth Proportional to 412,875.79, 619,312.50 and 113,356.65

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Solution

The fourth proportional to 412,875.79, 619,312.50 and 113,356.65 is: 170,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,875.79 : 619,312.50 = 113,356.65 : x
  2. Step 2: Convert to fraction form
    412,875.79/619,312.50 = 113,356.65/x
  3. Step 3: Cross multiply
    412,875.79x = 619,312.50 × 113,356.65
  4. Step 4: Simplify right side
    412,875.79x = 70,203,191,276.42
  5. Step 5: Solve for x
    x = 70,203,191,276.42/412,875.79
  6. Step 6: Final answer
    x = 170,034.65

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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.