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Finding the Fourth Proportional to 896,388, 1,345,001.64 and 447,143.58

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Solution

The fourth proportional to 896,388, 1,345,001.64 and 447,143.58 is: 670,924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,388 : 1,345,001.64 = 447,143.58 : x
  2. Step 2: Convert to fraction form
    896,388/1,345,001.64 = 447,143.58/x
  3. Step 3: Cross multiply
    896,388x = 1,345,001.64 × 447,143.58
  4. Step 4: Simplify right side
    896,388x = 601,408,848,415.47
  5. Step 5: Solve for x
    x = 601,408,848,415.47/896,388
  6. Step 6: Final answer
    x = 670,924.70

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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.