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Finding the Fourth Proportional to 470,921, 706,380.64 and 387,477.48

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Solution

The fourth proportional to 470,921, 706,380.64 and 387,477.48 is: 581,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,921 : 706,380.64 = 387,477.48 : x
  2. Step 2: Convert to fraction form
    470,921/706,380.64 = 387,477.48/x
  3. Step 3: Cross multiply
    470,921x = 706,380.64 × 387,477.48
  4. Step 4: Simplify right side
    470,921x = 273,706,590,307.99
  5. Step 5: Solve for x
    x = 273,706,590,307.99/470,921
  6. Step 6: Final answer
    x = 581,215.51

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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.