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Finding the Fourth Proportional to 520,025.16, 780,066.90 and 146,019

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Solution

The fourth proportional to 520,025.16, 780,066.90 and 146,019 is: 219,036.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,025.16 : 780,066.90 = 146,019 : x
  2. Step 2: Convert to fraction form
    520,025.16/780,066.90 = 146,019/x
  3. Step 3: Cross multiply
    520,025.16x = 780,066.90 × 146,019
  4. Step 4: Simplify right side
    520,025.16x = 113,904,588,671.10
  5. Step 5: Solve for x
    x = 113,904,588,671.10/520,025.16
  6. Step 6: Final answer
    x = 219,036.69

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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.