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Finding the Fourth Proportional to 369,492.87, 509,856.82 and 208,338.31

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Solution

The fourth proportional to 369,492.87, 509,856.82 and 208,338.31 is: 287,482.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,492.87 : 509,856.82 = 208,338.31 : x
  2. Step 2: Convert to fraction form
    369,492.87/509,856.82 = 208,338.31/x
  3. Step 3: Cross multiply
    369,492.87x = 509,856.82 × 208,338.31
  4. Step 4: Simplify right side
    369,492.87x = 106,222,708,220.77
  5. Step 5: Solve for x
    x = 106,222,708,220.77/369,492.87
  6. Step 6: Final answer
    x = 287,482.43

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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.