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Finding the Fourth Proportional to 774,880.83, 1,069,274.04 and 430,689.75

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Solution

The fourth proportional to 774,880.83, 1,069,274.04 and 430,689.75 is: 594,317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,880.83 : 1,069,274.04 = 430,689.75 : x
  2. Step 2: Convert to fraction form
    774,880.83/1,069,274.04 = 430,689.75/x
  3. Step 3: Cross multiply
    774,880.83x = 1,069,274.04 × 430,689.75
  4. Step 4: Simplify right side
    774,880.83x = 460,525,368,969.09
  5. Step 5: Solve for x
    x = 460,525,368,969.09/774,880.83
  6. Step 6: Final answer
    x = 594,317.67

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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.