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Finding the Fourth Proportional to 557,996.63, 770,041.80 and 309,643.67

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Solution

The fourth proportional to 557,996.63, 770,041.80 and 309,643.67 is: 427,311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,996.63 : 770,041.80 = 309,643.67 : x
  2. Step 2: Convert to fraction form
    557,996.63/770,041.80 = 309,643.67/x
  3. Step 3: Cross multiply
    557,996.63x = 770,041.80 × 309,643.67
  4. Step 4: Simplify right side
    557,996.63x = 238,438,565,155.20
  5. Step 5: Solve for x
    x = 238,438,565,155.20/557,996.63
  6. Step 6: Final answer
    x = 427,311.84

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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.