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Finding the Fourth Proportional to 506,258.56, 698,743.36 and 421,292.16

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Solution

The fourth proportional to 506,258.56, 698,743.36 and 421,292.16 is: 581,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,258.56 : 698,743.36 = 421,292.16 : x
  2. Step 2: Convert to fraction form
    506,258.56/698,743.36 = 421,292.16/x
  3. Step 3: Cross multiply
    506,258.56x = 698,743.36 × 421,292.16
  4. Step 4: Simplify right side
    506,258.56x = 294,375,099,420.06
  5. Step 5: Solve for x
    x = 294,375,099,420.06/506,258.56
  6. Step 6: Final answer
    x = 581,471.85

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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.