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Finding the Fourth Proportional to 406,563,345.60, 609,845,018.40 and 245,320,209.60

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Solution

The fourth proportional to 406,563,345.60, 609,845,018.40 and 245,320,209.60 is: 367,980,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,563,345.60 : 609,845,018.40 = 245,320,209.60 : x
  2. Step 2: Convert to fraction form
    406,563,345.60/609,845,018.40 = 245,320,209.60/x
  3. Step 3: Cross multiply
    406,563,345.60x = 609,845,018.40 × 245,320,209.60
  4. Step 4: Simplify right side
    406,563,345.60x = 149,607,307,737,403,840
  5. Step 5: Solve for x
    x = 149,607,307,737,403,840/406,563,345.60
  6. Step 6: Final answer
    x = 367,980,314.40

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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.