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Finding the Fourth Proportional to 640,963,477.80, 961,445,216.70 and 419,033,716.20

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Solution

The fourth proportional to 640,963,477.80, 961,445,216.70 and 419,033,716.20 is: 628,550,574.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,963,477.80 : 961,445,216.70 = 419,033,716.20 : x
  2. Step 2: Convert to fraction form
    640,963,477.80/961,445,216.70 = 419,033,716.20/x
  3. Step 3: Cross multiply
    640,963,477.80x = 961,445,216.70 × 419,033,716.20
  4. Step 4: Simplify right side
    640,963,477.80x = 402,877,962,076,515,328
  5. Step 5: Solve for x
    x = 402,877,962,076,515,328/640,963,477.80
  6. Step 6: Final answer
    x = 628,550,574.30

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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.