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Finding the Fourth Proportional to 369,645.30, 510,116.38 and 208,503.54

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Solution

The fourth proportional to 369,645.30, 510,116.38 and 208,503.54 is: 287,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,645.30 : 510,116.38 = 208,503.54 : x
  2. Step 2: Convert to fraction form
    369,645.30/510,116.38 = 208,503.54/x
  3. Step 3: Cross multiply
    369,645.30x = 510,116.38 × 208,503.54
  4. Step 4: Simplify right side
    369,645.30x = 106,361,071,041.99
  5. Step 5: Solve for x
    x = 106,361,071,041.99/369,645.30
  6. Step 6: Final answer
    x = 287,738.19

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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.