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Finding the Fourth Proportional to 7,000,643.20, 10,500,964.80 and 1,681,859.20

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Solution

The fourth proportional to 7,000,643.20, 10,500,964.80 and 1,681,859.20 is: 2,522,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000,643.20 : 10,500,964.80 = 1,681,859.20 : x
  2. Step 2: Convert to fraction form
    7,000,643.20/10,500,964.80 = 1,681,859.20/x
  3. Step 3: Cross multiply
    7,000,643.20x = 10,500,964.80 × 1,681,859.20
  4. Step 4: Simplify right side
    7,000,643.20x = 17,661,144,257,756.16
  5. Step 5: Solve for x
    x = 17,661,144,257,756.16/7,000,643.20
  6. Step 6: Final answer
    x = 2,522,788.80

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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.