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Finding the Fourth Proportional to 284,522.64, 392,607.76 and 157,190.64

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Solution

The fourth proportional to 284,522.64, 392,607.76 and 157,190.64 is: 216,904.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,522.64 : 392,607.76 = 157,190.64 : x
  2. Step 2: Convert to fraction form
    284,522.64/392,607.76 = 157,190.64/x
  3. Step 3: Cross multiply
    284,522.64x = 392,607.76 × 157,190.64
  4. Step 4: Simplify right side
    284,522.64x = 61,714,265,063.37
  5. Step 5: Solve for x
    x = 61,714,265,063.37/284,522.64
  6. Step 6: Final answer
    x = 216,904.58

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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.