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Finding the Fourth Proportional to 520,031.90, 778,735.65 and 415,055.90

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Solution

The fourth proportional to 520,031.90, 778,735.65 and 415,055.90 is: 621,536.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,031.90 : 778,735.65 = 415,055.90 : x
  2. Step 2: Convert to fraction form
    520,031.90/778,735.65 = 415,055.90/x
  3. Step 3: Cross multiply
    520,031.90x = 778,735.65 × 415,055.90
  4. Step 4: Simplify right side
    520,031.90x = 323,218,826,072.84
  5. Step 5: Solve for x
    x = 323,218,826,072.84/520,031.90
  6. Step 6: Final answer
    x = 621,536.54

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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.