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Finding the Fourth Proportional to 470,915.32, 706,433.74 and 171,349.78

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Solution

The fourth proportional to 470,915.32, 706,433.74 and 171,349.78 is: 257,046.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,915.32 : 706,433.74 = 171,349.78 : x
  2. Step 2: Convert to fraction form
    470,915.32/706,433.74 = 171,349.78/x
  3. Step 3: Cross multiply
    470,915.32x = 706,433.74 × 171,349.78
  4. Step 4: Simplify right side
    470,915.32x = 121,047,265,933.58
  5. Step 5: Solve for x
    x = 121,047,265,933.58/470,915.32
  6. Step 6: Final answer
    x = 257,046.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.