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Finding the Fourth Proportional to 520,301.92, 780,362.16 and 146,236

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Solution

The fourth proportional to 520,301.92, 780,362.16 and 146,236 is: 219,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,301.92 : 780,362.16 = 146,236 : x
  2. Step 2: Convert to fraction form
    520,301.92/780,362.16 = 146,236/x
  3. Step 3: Cross multiply
    520,301.92x = 780,362.16 × 146,236
  4. Step 4: Simplify right side
    520,301.92x = 114,117,040,829.76
  5. Step 5: Solve for x
    x = 114,117,040,829.76/520,301.92
  6. Step 6: Final answer
    x = 219,328.50

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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.