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Finding the Fourth Proportional to 284,590.32, 426,784.80 and 124,743.84

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Solution

The fourth proportional to 284,590.32, 426,784.80 and 124,743.84 is: 187,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,590.32 : 426,784.80 = 124,743.84 : x
  2. Step 2: Convert to fraction form
    284,590.32/426,784.80 = 124,743.84/x
  3. Step 3: Cross multiply
    284,590.32x = 426,784.80 × 124,743.84
  4. Step 4: Simplify right side
    284,590.32x = 53,238,774,805.63
  5. Step 5: Solve for x
    x = 53,238,774,805.63/284,590.32
  6. Step 6: Final answer
    x = 187,071.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.