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Finding the Fourth Proportional to 400,782.93, 553,080.63 and 219,506.26

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Solution

The fourth proportional to 400,782.93, 553,080.63 and 219,506.26 is: 302,918.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,782.93 : 553,080.63 = 219,506.26 : x
  2. Step 2: Convert to fraction form
    400,782.93/553,080.63 = 219,506.26/x
  3. Step 3: Cross multiply
    400,782.93x = 553,080.63 × 219,506.26
  4. Step 4: Simplify right side
    400,782.93x = 121,404,657,804.34
  5. Step 5: Solve for x
    x = 121,404,657,804.34/400,782.93
  6. Step 6: Final answer
    x = 302,918.74

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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.