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Finding the Fourth Proportional to 768,345.72, 1,152,420.17 and 235,822.16

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Solution

The fourth proportional to 768,345.72, 1,152,420.17 and 235,822.16 is: 353,703.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,345.72 : 1,152,420.17 = 235,822.16 : x
  2. Step 2: Convert to fraction form
    768,345.72/1,152,420.17 = 235,822.16/x
  3. Step 3: Cross multiply
    768,345.72x = 1,152,420.17 × 235,822.16
  4. Step 4: Simplify right side
    768,345.72x = 271,766,213,835.86
  5. Step 5: Solve for x
    x = 271,766,213,835.86/768,345.72
  6. Step 6: Final answer
    x = 353,703.03

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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.