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Finding the Fourth Proportional to 520,204.79, 780,307.17 and 146,227.79

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Solution

The fourth proportional to 520,204.79, 780,307.17 and 146,227.79 is: 219,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,204.79 : 780,307.17 = 146,227.79 : x
  2. Step 2: Convert to fraction form
    520,204.79/780,307.17 = 146,227.79/x
  3. Step 3: Cross multiply
    520,204.79x = 780,307.17 × 146,227.79
  4. Step 4: Simplify right side
    520,204.79x = 114,102,592,990.25
  5. Step 5: Solve for x
    x = 114,102,592,990.25/520,204.79
  6. Step 6: Final answer
    x = 219,341.68

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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.