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Finding the Fourth Proportional to 406,973,692.40, 610,460,538.60 and 252,005,496.80

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Solution

The fourth proportional to 406,973,692.40, 610,460,538.60 and 252,005,496.80 is: 378,008,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,973,692.40 : 610,460,538.60 = 252,005,496.80 : x
  2. Step 2: Convert to fraction form
    406,973,692.40/610,460,538.60 = 252,005,496.80/x
  3. Step 3: Cross multiply
    406,973,692.40x = 610,460,538.60 × 252,005,496.80
  4. Step 4: Simplify right side
    406,973,692.40x = 153,839,411,306,688,576
  5. Step 5: Solve for x
    x = 153,839,411,306,688,576/406,973,692.40
  6. Step 6: Final answer
    x = 378,008,245.20

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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.