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Finding the Fourth Proportional to 390,902.72, 539,447.76 and 221,133.28

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Solution

The fourth proportional to 390,902.72, 539,447.76 and 221,133.28 is: 305,165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,902.72 : 539,447.76 = 221,133.28 : x
  2. Step 2: Convert to fraction form
    390,902.72/539,447.76 = 221,133.28/x
  3. Step 3: Cross multiply
    390,902.72x = 539,447.76 × 221,133.28
  4. Step 4: Simplify right side
    390,902.72x = 119,289,852,557.45
  5. Step 5: Solve for x
    x = 119,289,852,557.45/390,902.72
  6. Step 6: Final answer
    x = 305,165.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.