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Finding the Fourth Proportional to 465,507.60, 642,484.08 and 274,509.60

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Solution

The fourth proportional to 465,507.60, 642,484.08 and 274,509.60 is: 378,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,507.60 : 642,484.08 = 274,509.60 : x
  2. Step 2: Convert to fraction form
    465,507.60/642,484.08 = 274,509.60/x
  3. Step 3: Cross multiply
    465,507.60x = 642,484.08 × 274,509.60
  4. Step 4: Simplify right side
    465,507.60x = 176,368,047,807.17
  5. Step 5: Solve for x
    x = 176,368,047,807.17/465,507.60
  6. Step 6: Final answer
    x = 378,872.54

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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.