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Finding the Fourth Proportional to 369,633.07, 510,072.49 and 208,478.51

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Solution

The fourth proportional to 369,633.07, 510,072.49 and 208,478.51 is: 287,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,633.07 : 510,072.49 = 208,478.51 : x
  2. Step 2: Convert to fraction form
    369,633.07/510,072.49 = 208,478.51/x
  3. Step 3: Cross multiply
    369,633.07x = 510,072.49 × 208,478.51
  4. Step 4: Simplify right side
    369,633.07x = 106,339,152,330.20
  5. Step 5: Solve for x
    x = 106,339,152,330.20/369,633.07
  6. Step 6: Final answer
    x = 287,688.41

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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.