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Finding the Fourth Proportional to 380,807.07, 525,510.49 and 208,734.59

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Solution

The fourth proportional to 380,807.07, 525,510.49 and 208,734.59 is: 288,051.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,807.07 : 525,510.49 = 208,734.59 : x
  2. Step 2: Convert to fraction form
    380,807.07/525,510.49 = 208,734.59/x
  3. Step 3: Cross multiply
    380,807.07x = 525,510.49 × 208,734.59
  4. Step 4: Simplify right side
    380,807.07x = 109,692,216,670.85
  5. Step 5: Solve for x
    x = 109,692,216,670.85/380,807.07
  6. Step 6: Final answer
    x = 288,051.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.