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Finding the Fourth Proportional to 520,034.16, 780,080.42 and 146,028

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Solution

The fourth proportional to 520,034.16, 780,080.42 and 146,028 is: 219,050.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,034.16 : 780,080.42 = 146,028 : x
  2. Step 2: Convert to fraction form
    520,034.16/780,080.42 = 146,028/x
  3. Step 3: Cross multiply
    520,034.16x = 780,080.42 × 146,028
  4. Step 4: Simplify right side
    520,034.16x = 113,913,583,571.76
  5. Step 5: Solve for x
    x = 113,913,583,571.76/520,034.16
  6. Step 6: Final answer
    x = 219,050.19

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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.