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Finding the Fourth Proportional to 706,891.16, 975,501.86 and 420,416.04

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Solution

The fourth proportional to 706,891.16, 975,501.86 and 420,416.04 is: 580,169.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,891.16 : 975,501.86 = 420,416.04 : x
  2. Step 2: Convert to fraction form
    706,891.16/975,501.86 = 420,416.04/x
  3. Step 3: Cross multiply
    706,891.16x = 975,501.86 × 420,416.04
  4. Step 4: Simplify right side
    706,891.16x = 410,116,628,993.83
  5. Step 5: Solve for x
    x = 410,116,628,993.83/706,891.16
  6. Step 6: Final answer
    x = 580,169.41

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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.