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Finding the Fourth Proportional to 409,411.20, 614,116.80 and 290,438.40

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Solution

The fourth proportional to 409,411.20, 614,116.80 and 290,438.40 is: 435,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,411.20 : 614,116.80 = 290,438.40 : x
  2. Step 2: Convert to fraction form
    409,411.20/614,116.80 = 290,438.40/x
  3. Step 3: Cross multiply
    409,411.20x = 614,116.80 × 290,438.40
  4. Step 4: Simplify right side
    409,411.20x = 178,363,100,805.12
  5. Step 5: Solve for x
    x = 178,363,100,805.12/409,411.20
  6. Step 6: Final answer
    x = 435,657.60

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1.5x scale

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.