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Finding the Fourth Proportional to 602,314.14, 831,379.64 and 387,454.36

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Solution

The fourth proportional to 602,314.14, 831,379.64 and 387,454.36 is: 534,806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,314.14 : 831,379.64 = 387,454.36 : x
  2. Step 2: Convert to fraction form
    602,314.14/831,379.64 = 387,454.36/x
  3. Step 3: Cross multiply
    602,314.14x = 831,379.64 × 387,454.36
  4. Step 4: Simplify right side
    602,314.14x = 322,121,666,333.23
  5. Step 5: Solve for x
    x = 322,121,666,333.23/602,314.14
  6. Step 6: Final answer
    x = 534,806.75

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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.