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Finding the Fourth Proportional to 488,535,941.80, 732,803,912.70 and 258,953,429.80

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Solution

The fourth proportional to 488,535,941.80, 732,803,912.70 and 258,953,429.80 is: 388,430,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,535,941.80 : 732,803,912.70 = 258,953,429.80 : x
  2. Step 2: Convert to fraction form
    488,535,941.80/732,803,912.70 = 258,953,429.80/x
  3. Step 3: Cross multiply
    488,535,941.80x = 732,803,912.70 × 258,953,429.80
  4. Step 4: Simplify right side
    488,535,941.80x = 189,762,086,564,524,800
  5. Step 5: Solve for x
    x = 189,762,086,564,524,800/488,535,941.80
  6. Step 6: Final answer
    x = 388,430,144.70

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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.