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Finding the Fourth Proportional to 380,877.64, 571,603.26 and 260,646.76

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Solution

The fourth proportional to 380,877.64, 571,603.26 and 260,646.76 is: 391,166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,877.64 : 571,603.26 = 260,646.76 : x
  2. Step 2: Convert to fraction form
    380,877.64/571,603.26 = 260,646.76/x
  3. Step 3: Cross multiply
    380,877.64x = 571,603.26 × 260,646.76
  4. Step 4: Simplify right side
    380,877.64x = 148,986,537,724.44
  5. Step 5: Solve for x
    x = 148,986,537,724.44/380,877.64
  6. Step 6: Final answer
    x = 391,166.41

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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.