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Finding the Fourth Proportional to 470,749.80, 706,124.70 and 329,032.20

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Solution

The fourth proportional to 470,749.80, 706,124.70 and 329,032.20 is: 493,548.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,749.80 : 706,124.70 = 329,032.20 : x
  2. Step 2: Convert to fraction form
    470,749.80/706,124.70 = 329,032.20/x
  3. Step 3: Cross multiply
    470,749.80x = 706,124.70 × 329,032.20
  4. Step 4: Simplify right side
    470,749.80x = 232,337,763,515.34
  5. Step 5: Solve for x
    x = 232,337,763,515.34/470,749.80
  6. Step 6: Final answer
    x = 493,548.30

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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.