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Finding the Fourth Proportional to 525,941.80, 788,109.85 and 312,288.97

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Solution

The fourth proportional to 525,941.80, 788,109.85 and 312,288.97 is: 467,956.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,941.80 : 788,109.85 = 312,288.97 : x
  2. Step 2: Convert to fraction form
    525,941.80/788,109.85 = 312,288.97/x
  3. Step 3: Cross multiply
    525,941.80x = 788,109.85 × 312,288.97
  4. Step 4: Simplify right side
    525,941.80x = 246,118,013,303.35
  5. Step 5: Solve for x
    x = 246,118,013,303.35/525,941.80
  6. Step 6: Final answer
    x = 467,956.75

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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.