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Finding the Fourth Proportional to 409,812.30, 614,062.35 and 259,784.10

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Solution

The fourth proportional to 409,812.30, 614,062.35 and 259,784.10 is: 389,260.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,812.30 : 614,062.35 = 259,784.10 : x
  2. Step 2: Convert to fraction form
    409,812.30/614,062.35 = 259,784.10/x
  3. Step 3: Cross multiply
    409,812.30x = 614,062.35 × 259,784.10
  4. Step 4: Simplify right side
    409,812.30x = 159,523,634,938.64
  5. Step 5: Solve for x
    x = 159,523,634,938.64/409,812.30
  6. Step 6: Final answer
    x = 389,260.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.