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Finding the Fourth Proportional to 387,509.42, 535,023.78 and 346,546.46

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Solution

The fourth proportional to 387,509.42, 535,023.78 and 346,546.46 is: 478,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,509.42 : 535,023.78 = 346,546.46 : x
  2. Step 2: Convert to fraction form
    387,509.42/535,023.78 = 346,546.46/x
  3. Step 3: Cross multiply
    387,509.42x = 535,023.78 × 346,546.46
  4. Step 4: Simplify right side
    387,509.42x = 185,410,596,974.82
  5. Step 5: Solve for x
    x = 185,410,596,974.82/387,509.42
  6. Step 6: Final answer
    x = 478,467.33

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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.