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Finding the Fourth Proportional to 369,074.51, 509,320.51 and 207,981.30

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Solution

The fourth proportional to 369,074.51, 509,320.51 and 207,981.30 is: 287,012.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,074.51 : 509,320.51 = 207,981.30 : x
  2. Step 2: Convert to fraction form
    369,074.51/509,320.51 = 207,981.30/x
  3. Step 3: Cross multiply
    369,074.51x = 509,320.51 × 207,981.30
  4. Step 4: Simplify right side
    369,074.51x = 105,929,143,176.46
  5. Step 5: Solve for x
    x = 105,929,143,176.46/369,074.51
  6. Step 6: Final answer
    x = 287,012.89

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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.