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Finding the Fourth Proportional to 434,696.80, 651,656.40 and 285,008.80

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Solution

The fourth proportional to 434,696.80, 651,656.40 and 285,008.80 is: 427,258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,696.80 : 651,656.40 = 285,008.80 : x
  2. Step 2: Convert to fraction form
    434,696.80/651,656.40 = 285,008.80/x
  3. Step 3: Cross multiply
    434,696.80x = 651,656.40 × 285,008.80
  4. Step 4: Simplify right side
    434,696.80x = 185,727,808,576.32
  5. Step 5: Solve for x
    x = 185,727,808,576.32/434,696.80
  6. Step 6: Final answer
    x = 427,258.28

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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.