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Finding the Fourth Proportional to 380,761.16, 525,444.10 and 208,677.80

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Solution

The fourth proportional to 380,761.16, 525,444.10 and 208,677.80 is: 287,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,761.16 : 525,444.10 = 208,677.80 : x
  2. Step 2: Convert to fraction form
    380,761.16/525,444.10 = 208,677.80/x
  3. Step 3: Cross multiply
    380,761.16x = 525,444.10 × 208,677.80
  4. Step 4: Simplify right side
    380,761.16x = 109,648,518,810.98
  5. Step 5: Solve for x
    x = 109,648,518,810.98/380,761.16
  6. Step 6: Final answer
    x = 287,971.91

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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.