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Finding the Fourth Proportional to 610,532, 842,534.16 and 342,260

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Solution

The fourth proportional to 610,532, 842,534.16 and 342,260 is: 472,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,532 : 842,534.16 = 342,260 : x
  2. Step 2: Convert to fraction form
    610,532/842,534.16 = 342,260/x
  3. Step 3: Cross multiply
    610,532x = 842,534.16 × 342,260
  4. Step 4: Simplify right side
    610,532x = 288,365,741,601.60
  5. Step 5: Solve for x
    x = 288,365,741,601.60/610,532
  6. Step 6: Final answer
    x = 472,318.80

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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.