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Finding the Fourth Proportional to 510,875.40, 765,000.90 and 405,024.60

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Solution

The fourth proportional to 510,875.40, 765,000.90 and 405,024.60 is: 606,496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,875.40 : 765,000.90 = 405,024.60 : x
  2. Step 2: Convert to fraction form
    510,875.40/765,000.90 = 405,024.60/x
  3. Step 3: Cross multiply
    510,875.40x = 765,000.90 × 405,024.60
  4. Step 4: Simplify right side
    510,875.40x = 309,844,183,522.14
  5. Step 5: Solve for x
    x = 309,844,183,522.14/510,875.40
  6. Step 6: Final answer
    x = 606,496.58

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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.