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Finding the Fourth Proportional to 477,677.93, 658,643.30 and 380,806.08

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Solution

The fourth proportional to 477,677.93, 658,643.30 and 380,806.08 is: 525,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,677.93 : 658,643.30 = 380,806.08 : x
  2. Step 2: Convert to fraction form
    477,677.93/658,643.30 = 380,806.08/x
  3. Step 3: Cross multiply
    477,677.93x = 658,643.30 × 380,806.08
  4. Step 4: Simplify right side
    477,677.93x = 250,815,371,634.67
  5. Step 5: Solve for x
    x = 250,815,371,634.67/477,677.93
  6. Step 6: Final answer
    x = 525,072.13

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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.