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Finding the Fourth Proportional to 340,319.76, 469,769.40 and 255,681.24

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Solution

The fourth proportional to 340,319.76, 469,769.40 and 255,681.24 is: 352,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,319.76 : 469,769.40 = 255,681.24 : x
  2. Step 2: Convert to fraction form
    340,319.76/469,769.40 = 255,681.24/x
  3. Step 3: Cross multiply
    340,319.76x = 469,769.40 × 255,681.24
  4. Step 4: Simplify right side
    340,319.76x = 120,111,222,706.06
  5. Step 5: Solve for x
    x = 120,111,222,706.06/340,319.76
  6. Step 6: Final answer
    x = 352,936.38

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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.