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Finding the Fourth Proportional to 470,945.40, 706,418.10 and 429,611.10

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Solution

The fourth proportional to 470,945.40, 706,418.10 and 429,611.10 is: 644,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,945.40 : 706,418.10 = 429,611.10 : x
  2. Step 2: Convert to fraction form
    470,945.40/706,418.10 = 429,611.10/x
  3. Step 3: Cross multiply
    470,945.40x = 706,418.10 × 429,611.10
  4. Step 4: Simplify right side
    470,945.40x = 303,485,057,000.91
  5. Step 5: Solve for x
    x = 303,485,057,000.91/470,945.40
  6. Step 6: Final answer
    x = 644,416.65

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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.