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Finding the Fourth Proportional to 409,739.60, 614,609.40 and 386,411.60

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Solution

The fourth proportional to 409,739.60, 614,609.40 and 386,411.60 is: 579,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,739.60 : 614,609.40 = 386,411.60 : x
  2. Step 2: Convert to fraction form
    409,739.60/614,609.40 = 386,411.60/x
  3. Step 3: Cross multiply
    409,739.60x = 614,609.40 × 386,411.60
  4. Step 4: Simplify right side
    409,739.60x = 237,492,201,629.04
  5. Step 5: Solve for x
    x = 237,492,201,629.04/409,739.60
  6. Step 6: Final answer
    x = 579,617.40

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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.