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Finding the Fourth Proportional to 369,709.12, 510,222.21 and 208,505.35

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Solution

The fourth proportional to 369,709.12, 510,222.21 and 208,505.35 is: 287,750.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,709.12 : 510,222.21 = 208,505.35 : x
  2. Step 2: Convert to fraction form
    369,709.12/510,222.21 = 208,505.35/x
  3. Step 3: Cross multiply
    369,709.12x = 510,222.21 × 208,505.35
  4. Step 4: Simplify right side
    369,709.12x = 106,384,057,922.71
  5. Step 5: Solve for x
    x = 106,384,057,922.71/369,709.12
  6. Step 6: Final answer
    x = 287,750.70

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1.5x scale

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.