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Finding the Fourth Proportional to 502,159.89, 692,812.04 and 284,338.79

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Solution

The fourth proportional to 502,159.89, 692,812.04 and 284,338.79 is: 392,292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,159.89 : 692,812.04 = 284,338.79 : x
  2. Step 2: Convert to fraction form
    502,159.89/692,812.04 = 284,338.79/x
  3. Step 3: Cross multiply
    502,159.89x = 692,812.04 × 284,338.79
  4. Step 4: Simplify right side
    502,159.89x = 196,993,334,863.32
  5. Step 5: Solve for x
    x = 196,993,334,863.32/502,159.89
  6. Step 6: Final answer
    x = 392,292.06

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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.