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Finding the Fourth Proportional to 525,312, 788,238.72 and 288,840.96

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Solution

The fourth proportional to 525,312, 788,238.72 and 288,840.96 is: 433,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,312 : 788,238.72 = 288,840.96 : x
  2. Step 2: Convert to fraction form
    525,312/788,238.72 = 288,840.96/x
  3. Step 3: Cross multiply
    525,312x = 788,238.72 × 288,840.96
  4. Step 4: Simplify right side
    525,312x = 227,675,628,593.97
  5. Step 5: Solve for x
    x = 227,675,628,593.97/525,312
  6. Step 6: Final answer
    x = 433,410.29

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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.