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Finding the Fourth Proportional to 520,139.90, 778,897.65 and 415,163.90

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Solution

The fourth proportional to 520,139.90, 778,897.65 and 415,163.90 is: 621,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,139.90 : 778,897.65 = 415,163.90 : x
  2. Step 2: Convert to fraction form
    520,139.90/778,897.65 = 415,163.90/x
  3. Step 3: Cross multiply
    520,139.90x = 778,897.65 × 415,163.90
  4. Step 4: Simplify right side
    520,139.90x = 323,370,186,074.84
  5. Step 5: Solve for x
    x = 323,370,186,074.84/520,139.90
  6. Step 6: Final answer
    x = 621,698.48

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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.