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Finding the Fourth Proportional to 354,009.40, 531,014.10 and 284,025.40

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Solution

The fourth proportional to 354,009.40, 531,014.10 and 284,025.40 is: 426,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,009.40 : 531,014.10 = 284,025.40 : x
  2. Step 2: Convert to fraction form
    354,009.40/531,014.10 = 284,025.40/x
  3. Step 3: Cross multiply
    354,009.40x = 531,014.10 × 284,025.40
  4. Step 4: Simplify right side
    354,009.40x = 150,821,492,158.14
  5. Step 5: Solve for x
    x = 150,821,492,158.14/354,009.40
  6. Step 6: Final answer
    x = 426,038.10

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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.