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Finding the Fourth Proportional to 284,598.86, 392,712.99 and 157,266.86

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Solution

The fourth proportional to 284,598.86, 392,712.99 and 157,266.86 is: 217,009.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,598.86 : 392,712.99 = 157,266.86 : x
  2. Step 2: Convert to fraction form
    284,598.86/392,712.99 = 157,266.86/x
  3. Step 3: Cross multiply
    284,598.86x = 392,712.99 × 157,266.86
  4. Step 4: Simplify right side
    284,598.86x = 61,760,738,818.51
  5. Step 5: Solve for x
    x = 61,760,738,818.51/284,598.86
  6. Step 6: Final answer
    x = 217,009.79

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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.