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Finding the Fourth Proportional to 657,696.80, 986,804.40 and 258,269.60

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Solution

The fourth proportional to 657,696.80, 986,804.40 and 258,269.60 is: 387,506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,696.80 : 986,804.40 = 258,269.60 : x
  2. Step 2: Convert to fraction form
    657,696.80/986,804.40 = 258,269.60/x
  3. Step 3: Cross multiply
    657,696.80x = 986,804.40 × 258,269.60
  4. Step 4: Simplify right side
    657,696.80x = 254,861,577,666.24
  5. Step 5: Solve for x
    x = 254,861,577,666.24/657,696.80
  6. Step 6: Final answer
    x = 387,506.18

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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.