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Finding the Fourth Proportional to 476,428.68, 714,762.90 and 210,262.68

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Solution

The fourth proportional to 476,428.68, 714,762.90 and 210,262.68 is: 315,446.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,428.68 : 714,762.90 = 210,262.68 : x
  2. Step 2: Convert to fraction form
    476,428.68/714,762.90 = 210,262.68/x
  3. Step 3: Cross multiply
    476,428.68x = 714,762.90 × 210,262.68
  4. Step 4: Simplify right side
    476,428.68x = 150,287,962,918.57
  5. Step 5: Solve for x
    x = 150,287,962,918.57/476,428.68
  6. Step 6: Final answer
    x = 315,446.93

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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.