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Finding the Fourth Proportional to 413,353.82, 620,030.77 and 129,068.72

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Solution

The fourth proportional to 413,353.82, 620,030.77 and 129,068.72 is: 193,603.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,353.82 : 620,030.77 = 129,068.72 : x
  2. Step 2: Convert to fraction form
    413,353.82/620,030.77 = 129,068.72/x
  3. Step 3: Cross multiply
    413,353.82x = 620,030.77 × 129,068.72
  4. Step 4: Simplify right side
    413,353.82x = 80,026,580,792.34
  5. Step 5: Solve for x
    x = 80,026,580,792.34/413,353.82
  6. Step 6: Final answer
    x = 193,603.10

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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.