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Finding the Fourth Proportional to 1,072,704, 1,609,263.04 and 407,804.16

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Solution

The fourth proportional to 1,072,704, 1,609,263.04 and 407,804.16 is: 611,784.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072,704 : 1,609,263.04 = 407,804.16 : x
  2. Step 2: Convert to fraction form
    1,072,704/1,609,263.04 = 407,804.16/x
  3. Step 3: Cross multiply
    1,072,704x = 1,609,263.04 × 407,804.16
  4. Step 4: Simplify right side
    1,072,704x = 656,264,162,246.25
  5. Step 5: Solve for x
    x = 656,264,162,246.25/1,072,704
  6. Step 6: Final answer
    x = 611,784.95

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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.