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Finding the Fourth Proportional to 346,701.60, 520,052.40 and 213,148.80

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Solution

The fourth proportional to 346,701.60, 520,052.40 and 213,148.80 is: 319,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,701.60 : 520,052.40 = 213,148.80 : x
  2. Step 2: Convert to fraction form
    346,701.60/520,052.40 = 213,148.80/x
  3. Step 3: Cross multiply
    346,701.60x = 520,052.40 × 213,148.80
  4. Step 4: Simplify right side
    346,701.60x = 110,848,544,997.12
  5. Step 5: Solve for x
    x = 110,848,544,997.12/346,701.60
  6. Step 6: Final answer
    x = 319,723.20

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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.