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Finding the Fourth Proportional to 705,802.21, 973,989.94 and 395,684.25

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Solution

The fourth proportional to 705,802.21, 973,989.94 and 395,684.25 is: 546,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,802.21 : 973,989.94 = 395,684.25 : x
  2. Step 2: Convert to fraction form
    705,802.21/973,989.94 = 395,684.25/x
  3. Step 3: Cross multiply
    705,802.21x = 973,989.94 × 395,684.25
  4. Step 4: Simplify right side
    705,802.21x = 385,392,478,916.45
  5. Step 5: Solve for x
    x = 385,392,478,916.45/705,802.21
  6. Step 6: Final answer
    x = 546,034.67

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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.