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Finding the Fourth Proportional to 284,728.86, 392,927.07 and 155,670.06

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Solution

The fourth proportional to 284,728.86, 392,927.07 and 155,670.06 is: 214,825.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,728.86 : 392,927.07 = 155,670.06 : x
  2. Step 2: Convert to fraction form
    284,728.86/392,927.07 = 155,670.06/x
  3. Step 3: Cross multiply
    284,728.86x = 392,927.07 × 155,670.06
  4. Step 4: Simplify right side
    284,728.86x = 61,166,980,562.52
  5. Step 5: Solve for x
    x = 61,166,980,562.52/284,728.86
  6. Step 6: Final answer
    x = 214,825.36

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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.