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Finding the Fourth Proportional to 495,517.51, 683,802.69 and 288,772.72

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Solution

The fourth proportional to 495,517.51, 683,802.69 and 288,772.72 is: 398,499.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,517.51 : 683,802.69 = 288,772.72 : x
  2. Step 2: Convert to fraction form
    495,517.51/683,802.69 = 288,772.72/x
  3. Step 3: Cross multiply
    495,517.51x = 683,802.69 × 288,772.72
  4. Step 4: Simplify right side
    495,517.51x = 197,463,562,734.62
  5. Step 5: Solve for x
    x = 197,463,562,734.62/495,517.51
  6. Step 6: Final answer
    x = 398,499.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.