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Finding the Fourth Proportional to 369,322.86, 509,635.01 and 208,217.51

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Solution

The fourth proportional to 369,322.86, 509,635.01 and 208,217.51 is: 287,322.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,322.86 : 509,635.01 = 208,217.51 : x
  2. Step 2: Convert to fraction form
    369,322.86/509,635.01 = 208,217.51/x
  3. Step 3: Cross multiply
    369,322.86x = 509,635.01 × 208,217.51
  4. Step 4: Simplify right side
    369,322.86x = 106,114,929,201.76
  5. Step 5: Solve for x
    x = 106,114,929,201.76/369,322.86
  6. Step 6: Final answer
    x = 287,322.94

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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.