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Finding the Fourth Proportional to 369,242.70, 509,565.60 and 208,088.88

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Solution

The fourth proportional to 369,242.70, 509,565.60 and 208,088.88 is: 287,168.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,242.70 : 509,565.60 = 208,088.88 : x
  2. Step 2: Convert to fraction form
    369,242.70/509,565.60 = 208,088.88/x
  3. Step 3: Cross multiply
    369,242.70x = 509,565.60 × 208,088.88
  4. Step 4: Simplify right side
    369,242.70x = 106,034,934,990.53
  5. Step 5: Solve for x
    x = 106,034,934,990.53/369,242.70
  6. Step 6: Final answer
    x = 287,168.67

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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.