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Finding the Fourth Proportional to 657,133.60, 984,971.40 and 257,641.60

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Solution

The fourth proportional to 657,133.60, 984,971.40 and 257,641.60 is: 386,176.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,133.60 : 984,971.40 = 257,641.60 : x
  2. Step 2: Convert to fraction form
    657,133.60/984,971.40 = 257,641.60/x
  3. Step 3: Cross multiply
    657,133.60x = 984,971.40 × 257,641.60
  4. Step 4: Simplify right side
    657,133.60x = 253,769,607,450.24
  5. Step 5: Solve for x
    x = 253,769,607,450.24/657,133.60
  6. Step 6: Final answer
    x = 386,176.58

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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.