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Finding the Fourth Proportional to 460,542.76, 690,971.02 and 280,987.72

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Solution

The fourth proportional to 460,542.76, 690,971.02 and 280,987.72 is: 421,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,542.76 : 690,971.02 = 280,987.72 : x
  2. Step 2: Convert to fraction form
    460,542.76/690,971.02 = 280,987.72/x
  3. Step 3: Cross multiply
    460,542.76x = 690,971.02 × 280,987.72
  4. Step 4: Simplify right side
    460,542.76x = 194,154,371,495.87
  5. Step 5: Solve for x
    x = 194,154,371,495.87/460,542.76
  6. Step 6: Final answer
    x = 421,577.30

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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.