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Finding the Fourth Proportional to 460,689.78, 691,090.04 and 435,495.54

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Solution

The fourth proportional to 460,689.78, 691,090.04 and 435,495.54 is: 653,295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,689.78 : 691,090.04 = 435,495.54 : x
  2. Step 2: Convert to fraction form
    460,689.78/691,090.04 = 435,495.54/x
  3. Step 3: Cross multiply
    460,689.78x = 691,090.04 × 435,495.54
  4. Step 4: Simplify right side
    460,689.78x = 300,966,630,158.42
  5. Step 5: Solve for x
    x = 300,966,630,158.42/460,689.78
  6. Step 6: Final answer
    x = 653,295.65

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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.