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Finding the Fourth Proportional to 346,428.72, 519,697.80 and 146,750.40

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Solution

The fourth proportional to 346,428.72, 519,697.80 and 146,750.40 is: 220,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,428.72 : 519,697.80 = 146,750.40 : x
  2. Step 2: Convert to fraction form
    346,428.72/519,697.80 = 146,750.40/x
  3. Step 3: Cross multiply
    346,428.72x = 519,697.80 × 146,750.40
  4. Step 4: Simplify right side
    346,428.72x = 76,265,860,029.12
  5. Step 5: Solve for x
    x = 76,265,860,029.12/346,428.72
  6. Step 6: Final answer
    x = 220,148.78

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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.