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Finding the Fourth Proportional to 359,554.40, 496,283.76 and 208,700

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Solution

The fourth proportional to 359,554.40, 496,283.76 and 208,700 is: 288,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,554.40 : 496,283.76 = 208,700 : x
  2. Step 2: Convert to fraction form
    359,554.40/496,283.76 = 208,700/x
  3. Step 3: Cross multiply
    359,554.40x = 496,283.76 × 208,700
  4. Step 4: Simplify right side
    359,554.40x = 103,574,420,712
  5. Step 5: Solve for x
    x = 103,574,420,712/359,554.40
  6. Step 6: Final answer
    x = 288,063.28

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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.