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Finding the Fourth Proportional to 463,969.70, 640,331.50 and 260,075.78

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Solution

The fourth proportional to 463,969.70, 640,331.50 and 260,075.78 is: 358,934.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,969.70 : 640,331.50 = 260,075.78 : x
  2. Step 2: Convert to fraction form
    463,969.70/640,331.50 = 260,075.78/x
  3. Step 3: Cross multiply
    463,969.70x = 640,331.50 × 260,075.78
  4. Step 4: Simplify right side
    463,969.70x = 166,534,714,321.07
  5. Step 5: Solve for x
    x = 166,534,714,321.07/463,969.70
  6. Step 6: Final answer
    x = 358,934.46

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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.