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Finding the Fourth Proportional to 563,405.63, 845,440.56 and 208,668.74

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Solution

The fourth proportional to 563,405.63, 845,440.56 and 208,668.74 is: 313,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,405.63 : 845,440.56 = 208,668.74 : x
  2. Step 2: Convert to fraction form
    563,405.63/845,440.56 = 208,668.74/x
  3. Step 3: Cross multiply
    563,405.63x = 845,440.56 × 208,668.74
  4. Step 4: Simplify right side
    563,405.63x = 176,417,012,172.89
  5. Step 5: Solve for x
    x = 176,417,012,172.89/563,405.63
  6. Step 6: Final answer
    x = 313,126.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.