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Finding the Fourth Proportional to 449,651,809.80, 620,329,487.13 and 301,020,811.20

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Solution

The fourth proportional to 449,651,809.80, 620,329,487.13 and 301,020,811.20 is: 415,281,516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,651,809.80 : 620,329,487.13 = 301,020,811.20 : x
  2. Step 2: Convert to fraction form
    449,651,809.80/620,329,487.13 = 301,020,811.20/x
  3. Step 3: Cross multiply
    449,651,809.80x = 620,329,487.13 × 301,020,811.20
  4. Step 4: Simplify right side
    449,651,809.80x = 186,732,085,427,152,544
  5. Step 5: Solve for x
    x = 186,732,085,427,152,544/449,651,809.80
  6. Step 6: Final answer
    x = 415,281,516.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.