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Finding the Fourth Proportional to 291,477.64, 402,228.52 and 162,409.44

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Solution

The fourth proportional to 291,477.64, 402,228.52 and 162,409.44 is: 224,119.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,477.64 : 402,228.52 = 162,409.44 : x
  2. Step 2: Convert to fraction form
    291,477.64/402,228.52 = 162,409.44/x
  3. Step 3: Cross multiply
    291,477.64x = 402,228.52 × 162,409.44
  4. Step 4: Simplify right side
    291,477.64x = 65,325,710,701.12
  5. Step 5: Solve for x
    x = 65,325,710,701.12/291,477.64
  6. Step 6: Final answer
    x = 224,119.12

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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.