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Finding the Fourth Proportional to 648,810, 895,357.80 and 358,420.14

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Solution

The fourth proportional to 648,810, 895,357.80 and 358,420.14 is: 494,619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,810 : 895,357.80 = 358,420.14 : x
  2. Step 2: Convert to fraction form
    648,810/895,357.80 = 358,420.14/x
  3. Step 3: Cross multiply
    648,810x = 895,357.80 × 358,420.14
  4. Step 4: Simplify right side
    648,810x = 320,914,268,026.09
  5. Step 5: Solve for x
    x = 320,914,268,026.09/648,810
  6. Step 6: Final answer
    x = 494,619.79

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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.