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Finding the Fourth Proportional to 506,019.88, 698,629.46 and 315,313.48

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Solution

The fourth proportional to 506,019.88, 698,629.46 and 315,313.48 is: 435,333.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,019.88 : 698,629.46 = 315,313.48 : x
  2. Step 2: Convert to fraction form
    506,019.88/698,629.46 = 315,313.48/x
  3. Step 3: Cross multiply
    506,019.88x = 698,629.46 × 315,313.48
  4. Step 4: Simplify right side
    506,019.88x = 220,287,286,263.12
  5. Step 5: Solve for x
    x = 220,287,286,263.12/506,019.88
  6. Step 6: Final answer
    x = 435,333.26

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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.