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Finding the Fourth Proportional to 294,458.16, 406,308.08 and 165,391.68

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Solution

The fourth proportional to 294,458.16, 406,308.08 and 165,391.68 is: 228,215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,458.16 : 406,308.08 = 165,391.68 : x
  2. Step 2: Convert to fraction form
    294,458.16/406,308.08 = 165,391.68/x
  3. Step 3: Cross multiply
    294,458.16x = 406,308.08 × 165,391.68
  4. Step 4: Simplify right side
    294,458.16x = 67,199,975,948.77
  5. Step 5: Solve for x
    x = 67,199,975,948.77/294,458.16
  6. Step 6: Final answer
    x = 228,215.70

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1.5x scale

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.