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Finding the Fourth Proportional to 1,270,834.80, 1,905,733.80 and 428,953.20

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Solution

The fourth proportional to 1,270,834.80, 1,905,733.80 and 428,953.20 is: 643,254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,834.80 : 1,905,733.80 = 428,953.20 : x
  2. Step 2: Convert to fraction form
    1,270,834.80/1,905,733.80 = 428,953.20/x
  3. Step 3: Cross multiply
    1,270,834.80x = 1,905,733.80 × 428,953.20
  4. Step 4: Simplify right side
    1,270,834.80x = 817,470,611,858.16
  5. Step 5: Solve for x
    x = 817,470,611,858.16/1,270,834.80
  6. Step 6: Final answer
    x = 643,254.82

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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.