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Finding the Fourth Proportional to 488,535,940.80, 732,803,911.20 and 258,953,428.80

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Solution

The fourth proportional to 488,535,940.80, 732,803,911.20 and 258,953,428.80 is: 388,430,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,535,940.80 : 732,803,911.20 = 258,953,428.80 : x
  2. Step 2: Convert to fraction form
    488,535,940.80/732,803,911.20 = 258,953,428.80/x
  3. Step 3: Cross multiply
    488,535,940.80x = 732,803,911.20 × 258,953,428.80
  4. Step 4: Simplify right side
    488,535,940.80x = 189,762,085,443,290,752
  5. Step 5: Solve for x
    x = 189,762,085,443,290,752/488,535,940.80
  6. Step 6: Final answer
    x = 388,430,143.20

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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.