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Finding the Fourth Proportional to 461,088.88, 636,301.40 and 257,140.02

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Solution

The fourth proportional to 461,088.88, 636,301.40 and 257,140.02 is: 354,852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,088.88 : 636,301.40 = 257,140.02 : x
  2. Step 2: Convert to fraction form
    461,088.88/636,301.40 = 257,140.02/x
  3. Step 3: Cross multiply
    461,088.88x = 636,301.40 × 257,140.02
  4. Step 4: Simplify right side
    461,088.88x = 163,618,554,722.03
  5. Step 5: Solve for x
    x = 163,618,554,722.03/461,088.88
  6. Step 6: Final answer
    x = 354,852.53

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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.