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Finding the Fourth Proportional to 502,128.51, 692,768.78 and 284,307.47

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Solution

The fourth proportional to 502,128.51, 692,768.78 and 284,307.47 is: 392,248.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,128.51 : 692,768.78 = 284,307.47 : x
  2. Step 2: Convert to fraction form
    502,128.51/692,768.78 = 284,307.47/x
  3. Step 3: Cross multiply
    502,128.51x = 692,768.78 × 284,307.47
  4. Step 4: Simplify right side
    502,128.51x = 196,959,335,672.94
  5. Step 5: Solve for x
    x = 196,959,335,672.94/502,128.51
  6. Step 6: Final answer
    x = 392,248.86

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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.