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Finding the Fourth Proportional to 658,814.40, 989,143.20 and 409,982.40

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Solution

The fourth proportional to 658,814.40, 989,143.20 and 409,982.40 is: 615,547.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,814.40 : 989,143.20 = 409,982.40 : x
  2. Step 2: Convert to fraction form
    658,814.40/989,143.20 = 409,982.40/x
  3. Step 3: Cross multiply
    658,814.40x = 989,143.20 × 409,982.40
  4. Step 4: Simplify right side
    658,814.40x = 405,531,303,079.68
  5. Step 5: Solve for x
    x = 405,531,303,079.68/658,814.40
  6. Step 6: Final answer
    x = 615,547.11

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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.