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Finding the Fourth Proportional to 434,012.42, 651,018.64 and 118,477.74

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Solution

The fourth proportional to 434,012.42, 651,018.64 and 118,477.74 is: 177,716.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,012.42 : 651,018.64 = 118,477.74 : x
  2. Step 2: Convert to fraction form
    434,012.42/651,018.64 = 118,477.74/x
  3. Step 3: Cross multiply
    434,012.42x = 651,018.64 × 118,477.74
  4. Step 4: Simplify right side
    434,012.42x = 77,131,217,165.07
  5. Step 5: Solve for x
    x = 77,131,217,165.07/434,012.42
  6. Step 6: Final answer
    x = 177,716.61

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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.