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Finding the Fourth Proportional to 460,911.90, 689,985.45 and 405,615.90

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Solution

The fourth proportional to 460,911.90, 689,985.45 and 405,615.90 is: 607,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,911.90 : 689,985.45 = 405,615.90 : x
  2. Step 2: Convert to fraction form
    460,911.90/689,985.45 = 405,615.90/x
  3. Step 3: Cross multiply
    460,911.90x = 689,985.45 × 405,615.90
  4. Step 4: Simplify right side
    460,911.90x = 279,869,069,288.66
  5. Step 5: Solve for x
    x = 279,869,069,288.66/460,911.90
  6. Step 6: Final answer
    x = 607,207.30

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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.