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Finding the Fourth Proportional to 413,320.40, 619,980.60 and 409,383.80

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Solution

The fourth proportional to 413,320.40, 619,980.60 and 409,383.80 is: 614,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,320.40 : 619,980.60 = 409,383.80 : x
  2. Step 2: Convert to fraction form
    413,320.40/619,980.60 = 409,383.80/x
  3. Step 3: Cross multiply
    413,320.40x = 619,980.60 × 409,383.80
  4. Step 4: Simplify right side
    413,320.40x = 253,810,013,954.28
  5. Step 5: Solve for x
    x = 253,810,013,954.28/413,320.40
  6. Step 6: Final answer
    x = 614,075.70

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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.