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Finding the Fourth Proportional to 322,570,655.90, 483,855,983.85 and 289,314,259.10

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Solution

The fourth proportional to 322,570,655.90, 483,855,983.85 and 289,314,259.10 is: 433,971,388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,570,655.90 : 483,855,983.85 = 289,314,259.10 : x
  2. Step 2: Convert to fraction form
    322,570,655.90/483,855,983.85 = 289,314,259.10/x
  3. Step 3: Cross multiply
    322,570,655.90x = 483,855,983.85 × 289,314,259.10
  4. Step 4: Simplify right side
    322,570,655.90x = 139,986,435,478,664,336
  5. Step 5: Solve for x
    x = 139,986,435,478,664,336/322,570,655.90
  6. Step 6: Final answer
    x = 433,971,388.65

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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.