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Finding the Fourth Proportional to 357,625, 493,303.62 and 212,332.21

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Solution

The fourth proportional to 357,625, 493,303.62 and 212,332.21 is: 292,888.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,625 : 493,303.62 = 212,332.21 : x
  2. Step 2: Convert to fraction form
    357,625/493,303.62 = 212,332.21/x
  3. Step 3: Cross multiply
    357,625x = 493,303.62 × 212,332.21
  4. Step 4: Simplify right side
    357,625x = 104,744,247,835.60
  5. Step 5: Solve for x
    x = 104,744,247,835.60/357,625
  6. Step 6: Final answer
    x = 292,888.49

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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.