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Finding the Fourth Proportional to 1,148,321.84, 1,583,041.64 and 807,733.04

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Solution

The fourth proportional to 1,148,321.84, 1,583,041.64 and 807,733.04 is: 1,113,516.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148,321.84 : 1,583,041.64 = 807,733.04 : x
  2. Step 2: Convert to fraction form
    1,148,321.84/1,583,041.64 = 807,733.04/x
  3. Step 3: Cross multiply
    1,148,321.84x = 1,583,041.64 × 807,733.04
  4. Step 4: Simplify right side
    1,148,321.84x = 1,278,675,036,323.79
  5. Step 5: Solve for x
    x = 1,278,675,036,323.79/1,148,321.84
  6. Step 6: Final answer
    x = 1,113,516.26

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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.