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Finding the Fourth Proportional to 471,775.17, 651,052.14 and 280,795.40

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Solution

The fourth proportional to 471,775.17, 651,052.14 and 280,795.40 is: 387,499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,775.17 : 651,052.14 = 280,795.40 : x
  2. Step 2: Convert to fraction form
    471,775.17/651,052.14 = 280,795.40/x
  3. Step 3: Cross multiply
    471,775.17x = 651,052.14 × 280,795.40
  4. Step 4: Simplify right side
    471,775.17x = 182,812,446,072.16
  5. Step 5: Solve for x
    x = 182,812,446,072.16/471,775.17
  6. Step 6: Final answer
    x = 387,499.08

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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.