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Finding the Fourth Proportional to 406,563,537.60, 609,845,306.40 and 245,320,401.60

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Solution

The fourth proportional to 406,563,537.60, 609,845,306.40 and 245,320,401.60 is: 367,980,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,563,537.60 : 609,845,306.40 = 245,320,401.60 : x
  2. Step 2: Convert to fraction form
    406,563,537.60/609,845,306.40 = 245,320,401.60/x
  3. Step 3: Cross multiply
    406,563,537.60x = 609,845,306.40 × 245,320,401.60
  4. Step 4: Simplify right side
    406,563,537.60x = 149,607,495,479,923,040
  5. Step 5: Solve for x
    x = 149,607,495,479,923,040/406,563,537.60
  6. Step 6: Final answer
    x = 367,980,602.40

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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.