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Finding the Fourth Proportional to 312,598.37, 431,386.19 and 169,358.40

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Solution

The fourth proportional to 312,598.37, 431,386.19 and 169,358.40 is: 233,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,598.37 : 431,386.19 = 169,358.40 : x
  2. Step 2: Convert to fraction form
    312,598.37/431,386.19 = 169,358.40/x
  3. Step 3: Cross multiply
    312,598.37x = 431,386.19 × 169,358.40
  4. Step 4: Simplify right side
    312,598.37x = 73,058,874,073.70
  5. Step 5: Solve for x
    x = 73,058,874,073.70/312,598.37
  6. Step 6: Final answer
    x = 233,714.83

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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.