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Finding the Fourth Proportional to 369,381.42, 509,715.78 and 208,276.02

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Solution

The fourth proportional to 369,381.42, 509,715.78 and 208,276.02 is: 287,403.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,381.42 : 509,715.78 = 208,276.02 : x
  2. Step 2: Convert to fraction form
    369,381.42/509,715.78 = 208,276.02/x
  3. Step 3: Cross multiply
    369,381.42x = 509,715.78 × 208,276.02
  4. Step 4: Simplify right side
    369,381.42x = 106,161,573,989.60
  5. Step 5: Solve for x
    x = 106,161,573,989.60/369,381.42
  6. Step 6: Final answer
    x = 287,403.67

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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.