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Finding the Fourth Proportional to 312,852.64, 430,137.98 and 278,534.56

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Solution

The fourth proportional to 312,852.64, 430,137.98 and 278,534.56 is: 382,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,852.64 : 430,137.98 = 278,534.56 : x
  2. Step 2: Convert to fraction form
    312,852.64/430,137.98 = 278,534.56/x
  3. Step 3: Cross multiply
    312,852.64x = 430,137.98 × 278,534.56
  4. Step 4: Simplify right side
    312,852.64x = 119,808,292,998.59
  5. Step 5: Solve for x
    x = 119,808,292,998.59/312,852.64
  6. Step 6: Final answer
    x = 382,954.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.