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Finding the Fourth Proportional to 312,148.40, 467,531.40 and 256,852.40

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Solution

The fourth proportional to 312,148.40, 467,531.40 and 256,852.40 is: 384,709.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,148.40 : 467,531.40 = 256,852.40 : x
  2. Step 2: Convert to fraction form
    312,148.40/467,531.40 = 256,852.40/x
  3. Step 3: Cross multiply
    312,148.40x = 467,531.40 × 256,852.40
  4. Step 4: Simplify right side
    312,148.40x = 120,086,562,165.36
  5. Step 5: Solve for x
    x = 120,086,562,165.36/312,148.40
  6. Step 6: Final answer
    x = 384,709.84

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1.5x scale

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.