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Finding the Fourth Proportional to 426,130.02, 638,586 and 312,922.26

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Solution

The fourth proportional to 426,130.02, 638,586 and 312,922.26 is: 468,936.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,130.02 : 638,586 = 312,922.26 : x
  2. Step 2: Convert to fraction form
    426,130.02/638,586 = 312,922.26/x
  3. Step 3: Cross multiply
    426,130.02x = 638,586 × 312,922.26
  4. Step 4: Simplify right side
    426,130.02x = 199,827,774,324.36
  5. Step 5: Solve for x
    x = 199,827,774,324.36/426,130.02
  6. Step 6: Final answer
    x = 468,936.16

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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.