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Finding the Fourth Proportional to 463,590.42, 639,746.31 and 256,858.06

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Solution

The fourth proportional to 463,590.42, 639,746.31 and 256,858.06 is: 354,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,590.42 : 639,746.31 = 256,858.06 : x
  2. Step 2: Convert to fraction form
    463,590.42/639,746.31 = 256,858.06/x
  3. Step 3: Cross multiply
    463,590.42x = 639,746.31 × 256,858.06
  4. Step 4: Simplify right side
    463,590.42x = 164,323,992,880.03
  5. Step 5: Solve for x
    x = 164,323,992,880.03/463,590.42
  6. Step 6: Final answer
    x = 354,459.42

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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.