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Finding the Fourth Proportional to 493,328.17, 739,862.65 and 212,783.05

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Solution

The fourth proportional to 493,328.17, 739,862.65 and 212,783.05 is: 319,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,328.17 : 739,862.65 = 212,783.05 : x
  2. Step 2: Convert to fraction form
    493,328.17/739,862.65 = 212,783.05/x
  3. Step 3: Cross multiply
    493,328.17x = 739,862.65 × 212,783.05
  4. Step 4: Simplify right side
    493,328.17x = 157,430,231,248.08
  5. Step 5: Solve for x
    x = 157,430,231,248.08/493,328.17
  6. Step 6: Final answer
    x = 319,118.67

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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.