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Finding the Fourth Proportional to 588,093.60, 880,390.80 and 388,639.20

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Solution

The fourth proportional to 588,093.60, 880,390.80 and 388,639.20 is: 581,802.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,093.60 : 880,390.80 = 388,639.20 : x
  2. Step 2: Convert to fraction form
    588,093.60/880,390.80 = 388,639.20/x
  3. Step 3: Cross multiply
    588,093.60x = 880,390.80 × 388,639.20
  4. Step 4: Simplify right side
    588,093.60x = 342,154,376,199.36
  5. Step 5: Solve for x
    x = 342,154,376,199.36/588,093.60
  6. Step 6: Final answer
    x = 581,802.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.