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Finding the Fourth Proportional to 369,988, 510,587.13 and 200,225.77

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Solution

The fourth proportional to 369,988, 510,587.13 and 200,225.77 is: 276,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,988 : 510,587.13 = 200,225.77 : x
  2. Step 2: Convert to fraction form
    369,988/510,587.13 = 200,225.77/x
  3. Step 3: Cross multiply
    369,988x = 510,587.13 × 200,225.77
  4. Step 4: Simplify right side
    369,988x = 102,232,701,256.34
  5. Step 5: Solve for x
    x = 102,232,701,256.34/369,988
  6. Step 6: Final answer
    x = 276,313.56

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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.