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Finding the Fourth Proportional to 513,038.88, 769,558.32 and 139,061.88

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Solution

The fourth proportional to 513,038.88, 769,558.32 and 139,061.88 is: 208,592.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,038.88 : 769,558.32 = 139,061.88 : x
  2. Step 2: Convert to fraction form
    513,038.88/769,558.32 = 139,061.88/x
  3. Step 3: Cross multiply
    513,038.88x = 769,558.32 × 139,061.88
  4. Step 4: Simplify right side
    513,038.88x = 107,016,226,748.84
  5. Step 5: Solve for x
    x = 107,016,226,748.84/513,038.88
  6. Step 6: Final answer
    x = 208,592.82

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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.