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Finding the Fourth Proportional to 697,946.09, 962,920.32 and 456,370.07

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Solution

The fourth proportional to 697,946.09, 962,920.32 and 456,370.07 is: 629,630.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,946.09 : 962,920.32 = 456,370.07 : x
  2. Step 2: Convert to fraction form
    697,946.09/962,920.32 = 456,370.07/x
  3. Step 3: Cross multiply
    697,946.09x = 962,920.32 × 456,370.07
  4. Step 4: Simplify right side
    697,946.09x = 439,448,009,028.22
  5. Step 5: Solve for x
    x = 439,448,009,028.22/697,946.09
  6. Step 6: Final answer
    x = 629,630.31

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1.5x scale

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.