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Finding the Fourth Proportional to 460,478.72, 689,442.68 and 235,354.34

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Solution

The fourth proportional to 460,478.72, 689,442.68 and 235,354.34 is: 352,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,478.72 : 689,442.68 = 235,354.34 : x
  2. Step 2: Convert to fraction form
    460,478.72/689,442.68 = 235,354.34/x
  3. Step 3: Cross multiply
    460,478.72x = 689,442.68 × 235,354.34
  4. Step 4: Simplify right side
    460,478.72x = 162,263,326,919.23
  5. Step 5: Solve for x
    x = 162,263,326,919.23/460,478.72
  6. Step 6: Final answer
    x = 352,379.64

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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.