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Finding the Fourth Proportional to 406,563,346.60, 609,845,019.90 and 245,320,210.60

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Solution

The fourth proportional to 406,563,346.60, 609,845,019.90 and 245,320,210.60 is: 367,980,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,563,346.60 : 609,845,019.90 = 245,320,210.60 : x
  2. Step 2: Convert to fraction form
    406,563,346.60/609,845,019.90 = 245,320,210.60/x
  3. Step 3: Cross multiply
    406,563,346.60x = 609,845,019.90 × 245,320,210.60
  4. Step 4: Simplify right side
    406,563,346.60x = 149,607,308,715,229,184
  5. Step 5: Solve for x
    x = 149,607,308,715,229,184/406,563,346.60
  6. Step 6: Final answer
    x = 367,980,315.90

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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.