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Finding the Fourth Proportional to 475,373.56, 656,020.67 and 260,509

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Solution

The fourth proportional to 475,373.56, 656,020.67 and 260,509 is: 359,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,373.56 : 656,020.67 = 260,509 : x
  2. Step 2: Convert to fraction form
    475,373.56/656,020.67 = 260,509/x
  3. Step 3: Cross multiply
    475,373.56x = 656,020.67 × 260,509
  4. Step 4: Simplify right side
    475,373.56x = 170,899,288,721.03
  5. Step 5: Solve for x
    x = 170,899,288,721.03/475,373.56
  6. Step 6: Final answer
    x = 359,505.25

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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.