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Finding the Fourth Proportional to 284,598.61, 392,730.62 and 157,266

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Solution

The fourth proportional to 284,598.61, 392,730.62 and 157,266 is: 217,018.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,598.61 : 392,730.62 = 157,266 : x
  2. Step 2: Convert to fraction form
    284,598.61/392,730.62 = 157,266/x
  3. Step 3: Cross multiply
    284,598.61x = 392,730.62 × 157,266
  4. Step 4: Simplify right side
    284,598.61x = 61,763,172,898.59
  5. Step 5: Solve for x
    x = 61,763,172,898.59/284,598.61
  6. Step 6: Final answer
    x = 217,018.54

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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.