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Finding the Fourth Proportional to 461,842.51, 637,341.45 and 257,891.80

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Solution

The fourth proportional to 461,842.51, 637,341.45 and 257,891.80 is: 355,890.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,842.51 : 637,341.45 = 257,891.80 : x
  2. Step 2: Convert to fraction form
    461,842.51/637,341.45 = 257,891.80/x
  3. Step 3: Cross multiply
    461,842.51x = 637,341.45 × 257,891.80
  4. Step 4: Simplify right side
    461,842.51x = 164,365,133,755.11
  5. Step 5: Solve for x
    x = 164,365,133,755.11/461,842.51
  6. Step 6: Final answer
    x = 355,890.01

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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.