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Finding the Fourth Proportional to 294,784, 406,804.80 and 160,650.88

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Solution

The fourth proportional to 294,784, 406,804.80 and 160,650.88 is: 221,699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,784 : 406,804.80 = 160,650.88 : x
  2. Step 2: Convert to fraction form
    294,784/406,804.80 = 160,650.88/x
  3. Step 3: Cross multiply
    294,784x = 406,804.80 × 160,650.88
  4. Step 4: Simplify right side
    294,784x = 65,353,549,108.22
  5. Step 5: Solve for x
    x = 65,353,549,108.22/294,784
  6. Step 6: Final answer
    x = 221,699.78

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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.