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Finding the Fourth Proportional to 1,309,216.80, 1,964,798.64 and 973,040.16

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Solution

The fourth proportional to 1,309,216.80, 1,964,798.64 and 973,040.16 is: 1,460,283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,216.80 : 1,964,798.64 = 973,040.16 : x
  2. Step 2: Convert to fraction form
    1,309,216.80/1,964,798.64 = 973,040.16/x
  3. Step 3: Cross multiply
    1,309,216.80x = 1,964,798.64 × 973,040.16
  4. Step 4: Simplify right side
    1,309,216.80x = 1,911,827,983,033.38
  5. Step 5: Solve for x
    x = 1,911,827,983,033.38/1,309,216.80
  6. Step 6: Final answer
    x = 1,460,283.72

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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.