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Finding the Fourth Proportional to 409,868.40, 614,802.60 and 289,599.60

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Solution

The fourth proportional to 409,868.40, 614,802.60 and 289,599.60 is: 434,399.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,868.40 : 614,802.60 = 289,599.60 : x
  2. Step 2: Convert to fraction form
    409,868.40/614,802.60 = 289,599.60/x
  3. Step 3: Cross multiply
    409,868.40x = 614,802.60 × 289,599.60
  4. Step 4: Simplify right side
    409,868.40x = 178,046,587,038.96
  5. Step 5: Solve for x
    x = 178,046,587,038.96/409,868.40
  6. Step 6: Final answer
    x = 434,399.40

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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.