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Finding the Fourth Proportional to 469,748.86, 648,421.54 and 278,762.24

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Solution

The fourth proportional to 469,748.86, 648,421.54 and 278,762.24 is: 384,791.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,748.86 : 648,421.54 = 278,762.24 : x
  2. Step 2: Convert to fraction form
    469,748.86/648,421.54 = 278,762.24/x
  3. Step 3: Cross multiply
    469,748.86x = 648,421.54 × 278,762.24
  4. Step 4: Simplify right side
    469,748.86x = 180,755,440,954.65
  5. Step 5: Solve for x
    x = 180,755,440,954.65/469,748.86
  6. Step 6: Final answer
    x = 384,791.65

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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.