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Finding the Fourth Proportional to 520,026.66, 780,069.15 and 146,020.50

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Solution

The fourth proportional to 520,026.66, 780,069.15 and 146,020.50 is: 219,038.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,026.66 : 780,069.15 = 146,020.50 : x
  2. Step 2: Convert to fraction form
    520,026.66/780,069.15 = 146,020.50/x
  3. Step 3: Cross multiply
    520,026.66x = 780,069.15 × 146,020.50
  4. Step 4: Simplify right side
    520,026.66x = 113,906,087,317.58
  5. Step 5: Solve for x
    x = 113,906,087,317.58/520,026.66
  6. Step 6: Final answer
    x = 219,038.94

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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.