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Finding the Fourth Proportional to 284,700, 392,883.12 and 157,369.44

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Solution

The fourth proportional to 284,700, 392,883.12 and 157,369.44 is: 217,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,700 : 392,883.12 = 157,369.44 : x
  2. Step 2: Convert to fraction form
    284,700/392,883.12 = 157,369.44/x
  3. Step 3: Cross multiply
    284,700x = 392,883.12 × 157,369.44
  4. Step 4: Simplify right side
    284,700x = 61,827,796,579.85
  5. Step 5: Solve for x
    x = 61,827,796,579.85/284,700
  6. Step 6: Final answer
    x = 217,168.24

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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.