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Finding the Fourth Proportional to 370,802.60, 511,717.66 and 209,681.76

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Solution

The fourth proportional to 370,802.60, 511,717.66 and 209,681.76 is: 289,366.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,802.60 : 511,717.66 = 209,681.76 : x
  2. Step 2: Convert to fraction form
    370,802.60/511,717.66 = 209,681.76/x
  3. Step 3: Cross multiply
    370,802.60x = 511,717.66 × 209,681.76
  4. Step 4: Simplify right side
    370,802.60x = 107,297,859,571.88
  5. Step 5: Solve for x
    x = 107,297,859,571.88/370,802.60
  6. Step 6: Final answer
    x = 289,366.52

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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.