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Finding the Fourth Proportional to 390,471.84, 538,898.40 and 220,704.48

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Solution

The fourth proportional to 390,471.84, 538,898.40 and 220,704.48 is: 304,598.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,471.84 : 538,898.40 = 220,704.48 : x
  2. Step 2: Convert to fraction form
    390,471.84/538,898.40 = 220,704.48/x
  3. Step 3: Cross multiply
    390,471.84x = 538,898.40 × 220,704.48
  4. Step 4: Simplify right side
    390,471.84x = 118,937,291,144.83
  5. Step 5: Solve for x
    x = 118,937,291,144.83/390,471.84
  6. Step 6: Final answer
    x = 304,598.90

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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.