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Finding the Fourth Proportional to 509,804.80, 703,528.32 and 283,436.80

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Solution

The fourth proportional to 509,804.80, 703,528.32 and 283,436.80 is: 391,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,804.80 : 703,528.32 = 283,436.80 : x
  2. Step 2: Convert to fraction form
    509,804.80/703,528.32 = 283,436.80/x
  3. Step 3: Cross multiply
    509,804.80x = 703,528.32 × 283,436.80
  4. Step 4: Simplify right side
    509,804.80x = 199,405,815,730.18
  5. Step 5: Solve for x
    x = 199,405,815,730.18/509,804.80
  6. Step 6: Final answer
    x = 391,141.50

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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.