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Finding the Fourth Proportional to 410,408.84, 615,807.66 and 284,243.24

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Solution

The fourth proportional to 410,408.84, 615,807.66 and 284,243.24 is: 426,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,408.84 : 615,807.66 = 284,243.24 : x
  2. Step 2: Convert to fraction form
    410,408.84/615,807.66 = 284,243.24/x
  3. Step 3: Cross multiply
    410,408.84x = 615,807.66 × 284,243.24
  4. Step 4: Simplify right side
    410,408.84x = 175,039,164,495.22
  5. Step 5: Solve for x
    x = 175,039,164,495.22/410,408.84
  6. Step 6: Final answer
    x = 426,499.50

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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.