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Finding the Fourth Proportional to 409,778.40, 615,166.80 and 260,018.40

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Solution

The fourth proportional to 409,778.40, 615,166.80 and 260,018.40 is: 390,344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,778.40 : 615,166.80 = 260,018.40 : x
  2. Step 2: Convert to fraction form
    409,778.40/615,166.80 = 260,018.40/x
  3. Step 3: Cross multiply
    409,778.40x = 615,166.80 × 260,018.40
  4. Step 4: Simplify right side
    409,778.40x = 159,954,687,069.12
  5. Step 5: Solve for x
    x = 159,954,687,069.12/409,778.40
  6. Step 6: Final answer
    x = 390,344.36

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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.