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Finding the Fourth Proportional to 413,309.68, 570,220.64 and 270,152.40

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Solution

The fourth proportional to 413,309.68, 570,220.64 and 270,152.40 is: 372,714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,309.68 : 570,220.64 = 270,152.40 : x
  2. Step 2: Convert to fraction form
    413,309.68/570,220.64 = 270,152.40/x
  3. Step 3: Cross multiply
    413,309.68x = 570,220.64 × 270,152.40
  4. Step 4: Simplify right side
    413,309.68x = 154,046,474,425.54
  5. Step 5: Solve for x
    x = 154,046,474,425.54/413,309.68
  6. Step 6: Final answer
    x = 372,714.41

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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.