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Finding the Fourth Proportional to 422,640,412.80, 590,487,254.40 and 422,640,412.80

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Solution

The fourth proportional to 422,640,412.80, 590,487,254.40 and 422,640,412.80 is: 590,487,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,640,412.80 : 590,487,254.40 = 422,640,412.80 : x
  2. Step 2: Convert to fraction form
    422,640,412.80/590,487,254.40 = 422,640,412.80/x
  3. Step 3: Cross multiply
    422,640,412.80x = 590,487,254.40 × 422,640,412.80
  4. Step 4: Simplify right side
    422,640,412.80x = 249,563,776,952,754,624
  5. Step 5: Solve for x
    x = 249,563,776,952,754,624/422,640,412.80
  6. Step 6: Final answer
    x = 590,487,254.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.