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Finding the Fourth Proportional to 310,798.84, 428,862.04 and 174,828.19

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Solution

The fourth proportional to 310,798.84, 428,862.04 and 174,828.19 is: 241,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,798.84 : 428,862.04 = 174,828.19 : x
  2. Step 2: Convert to fraction form
    310,798.84/428,862.04 = 174,828.19/x
  3. Step 3: Cross multiply
    310,798.84x = 428,862.04 × 174,828.19
  4. Step 4: Simplify right side
    310,798.84x = 74,977,174,212.91
  5. Step 5: Solve for x
    x = 74,977,174,212.91/310,798.84
  6. Step 6: Final answer
    x = 241,240.20

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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.