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Finding the Fourth Proportional to 559,709.34, 771,789.06 and 378,106.11

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Solution

The fourth proportional to 559,709.34, 771,789.06 and 378,106.11 is: 521,374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,709.34 : 771,789.06 = 378,106.11 : x
  2. Step 2: Convert to fraction form
    559,709.34/771,789.06 = 378,106.11/x
  3. Step 3: Cross multiply
    559,709.34x = 771,789.06 × 378,106.11
  4. Step 4: Simplify right side
    559,709.34x = 291,818,159,217.16
  5. Step 5: Solve for x
    x = 291,818,159,217.16/559,709.34
  6. Step 6: Final answer
    x = 521,374.47

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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.