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Finding the Fourth Proportional to 284,307.76, 425,535.76 and 209,398.40

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Solution

The fourth proportional to 284,307.76, 425,535.76 and 209,398.40 is: 313,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,307.76 : 425,535.76 = 209,398.40 : x
  2. Step 2: Convert to fraction form
    284,307.76/425,535.76 = 209,398.40/x
  3. Step 3: Cross multiply
    284,307.76x = 425,535.76 × 209,398.40
  4. Step 4: Simplify right side
    284,307.76x = 89,106,507,286.78
  5. Step 5: Solve for x
    x = 89,106,507,286.78/284,307.76
  6. Step 6: Final answer
    x = 313,415.67

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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.