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Finding the Fourth Proportional to 431,569,561.80, 647,354,342.70 and 293,820,054.60

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Solution

The fourth proportional to 431,569,561.80, 647,354,342.70 and 293,820,054.60 is: 440,730,081.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,569,561.80 : 647,354,342.70 = 293,820,054.60 : x
  2. Step 2: Convert to fraction form
    431,569,561.80/647,354,342.70 = 293,820,054.60/x
  3. Step 3: Cross multiply
    431,569,561.80x = 647,354,342.70 × 293,820,054.60
  4. Step 4: Simplify right side
    431,569,561.80x = 190,205,688,317,661,152
  5. Step 5: Solve for x
    x = 190,205,688,317,661,152/431,569,561.80
  6. Step 6: Final answer
    x = 440,730,081.90

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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.