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Finding the Fourth Proportional to 228,709.12, 315,380.64 and 180,886.72

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Solution

The fourth proportional to 228,709.12, 315,380.64 and 180,886.72 is: 249,435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,709.12 : 315,380.64 = 180,886.72 : x
  2. Step 2: Convert to fraction form
    228,709.12/315,380.64 = 180,886.72/x
  3. Step 3: Cross multiply
    228,709.12x = 315,380.64 × 180,886.72
  4. Step 4: Simplify right side
    228,709.12x = 57,048,169,521.10
  5. Step 5: Solve for x
    x = 57,048,169,521.10/228,709.12
  6. Step 6: Final answer
    x = 249,435.48

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1.5x scale

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.