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Finding the Fourth Proportional to 369,878.81, 510,430.61 and 200,109.29

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Solution

The fourth proportional to 369,878.81, 510,430.61 and 200,109.29 is: 276,149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,878.81 : 510,430.61 = 200,109.29 : x
  2. Step 2: Convert to fraction form
    369,878.81/510,430.61 = 200,109.29/x
  3. Step 3: Cross multiply
    369,878.81x = 510,430.61 × 200,109.29
  4. Step 4: Simplify right side
    369,878.81x = 102,141,904,909.49
  5. Step 5: Solve for x
    x = 102,141,904,909.49/369,878.81
  6. Step 6: Final answer
    x = 276,149.66

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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.