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Finding the Fourth Proportional to 378,931.59, 522,925.52 and 209,165.67

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Solution

The fourth proportional to 378,931.59, 522,925.52 and 209,165.67 is: 288,648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,931.59 : 522,925.52 = 209,165.67 : x
  2. Step 2: Convert to fraction form
    378,931.59/522,925.52 = 209,165.67/x
  3. Step 3: Cross multiply
    378,931.59x = 522,925.52 × 209,165.67
  4. Step 4: Simplify right side
    378,931.59x = 109,378,065,705.07
  5. Step 5: Solve for x
    x = 109,378,065,705.07/378,931.59
  6. Step 6: Final answer
    x = 288,648.58

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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.