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Finding the Fourth Proportional to 1,012,865.74, 1,397,941.71 and 650,742.28

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Solution

The fourth proportional to 1,012,865.74, 1,397,941.71 and 650,742.28 is: 898,144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012,865.74 : 1,397,941.71 = 650,742.28 : x
  2. Step 2: Convert to fraction form
    1,012,865.74/1,397,941.71 = 650,742.28/x
  3. Step 3: Cross multiply
    1,012,865.74x = 1,397,941.71 × 650,742.28
  4. Step 4: Simplify right side
    1,012,865.74x = 909,699,769,737.36
  5. Step 5: Solve for x
    x = 909,699,769,737.36/1,012,865.74
  6. Step 6: Final answer
    x = 898,144.48

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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.