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Finding the Fourth Proportional to 285,416.64, 393,916.32 and 172,255.68

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Solution

The fourth proportional to 285,416.64, 393,916.32 and 172,255.68 is: 237,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,416.64 : 393,916.32 = 172,255.68 : x
  2. Step 2: Convert to fraction form
    285,416.64/393,916.32 = 172,255.68/x
  3. Step 3: Cross multiply
    285,416.64x = 393,916.32 × 172,255.68
  4. Step 4: Simplify right side
    285,416.64x = 67,854,323,564.70
  5. Step 5: Solve for x
    x = 67,854,323,564.70/285,416.64
  6. Step 6: Final answer
    x = 237,737.80

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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.