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Finding the Fourth Proportional to 653,688, 902,127.97 and 492,258.24

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Solution

The fourth proportional to 653,688, 902,127.97 and 492,258.24 is: 679,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,688 : 902,127.97 = 492,258.24 : x
  2. Step 2: Convert to fraction form
    653,688/902,127.97 = 492,258.24/x
  3. Step 3: Cross multiply
    653,688x = 902,127.97 × 492,258.24
  4. Step 4: Simplify right side
    653,688x = 444,079,926,766.97
  5. Step 5: Solve for x
    x = 444,079,926,766.97/653,688
  6. Step 6: Final answer
    x = 679,345.39

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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.