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Finding the Fourth Proportional to 309,792.32, 427,495.68 and 171,964.16

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Solution

The fourth proportional to 309,792.32, 427,495.68 and 171,964.16 is: 237,300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,792.32 : 427,495.68 = 171,964.16 : x
  2. Step 2: Convert to fraction form
    309,792.32/427,495.68 = 171,964.16/x
  3. Step 3: Cross multiply
    309,792.32x = 427,495.68 × 171,964.16
  4. Step 4: Simplify right side
    309,792.32x = 73,513,935,514.83
  5. Step 5: Solve for x
    x = 73,513,935,514.83/309,792.32
  6. Step 6: Final answer
    x = 237,300.70

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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.