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Finding the Fourth Proportional to 369,448.74, 509,839.98 and 208,303.42

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Solution

The fourth proportional to 369,448.74, 509,839.98 and 208,303.42 is: 287,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,448.74 : 509,839.98 = 208,303.42 : x
  2. Step 2: Convert to fraction form
    369,448.74/509,839.98 = 208,303.42/x
  3. Step 3: Cross multiply
    369,448.74x = 509,839.98 × 208,303.42
  4. Step 4: Simplify right side
    369,448.74x = 106,201,411,486.73
  5. Step 5: Solve for x
    x = 106,201,411,486.73/369,448.74
  6. Step 6: Final answer
    x = 287,459.12

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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.