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Finding the Fourth Proportional to 353,527.34, 487,828.17 and 208,323.77

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Solution

The fourth proportional to 353,527.34, 487,828.17 and 208,323.77 is: 287,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,527.34 : 487,828.17 = 208,323.77 : x
  2. Step 2: Convert to fraction form
    353,527.34/487,828.17 = 208,323.77/x
  3. Step 3: Cross multiply
    353,527.34x = 487,828.17 × 208,323.77
  4. Step 4: Simplify right side
    353,527.34x = 101,626,201,047.46
  5. Step 5: Solve for x
    x = 101,626,201,047.46/353,527.34
  6. Step 6: Final answer
    x = 287,463.49

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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.