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Finding the Fourth Proportional to 291,790.74, 437,686.26 and 78,559.16

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Solution

The fourth proportional to 291,790.74, 437,686.26 and 78,559.16 is: 117,838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,790.74 : 437,686.26 = 78,559.16 : x
  2. Step 2: Convert to fraction form
    291,790.74/437,686.26 = 78,559.16/x
  3. Step 3: Cross multiply
    291,790.74x = 437,686.26 × 78,559.16
  4. Step 4: Simplify right side
    291,790.74x = 34,384,262,740.71
  5. Step 5: Solve for x
    x = 34,384,262,740.71/291,790.74
  6. Step 6: Final answer
    x = 117,838.77

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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.