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Finding the Fourth Proportional to 536,699,687.60, 805,049,531.40 and 407,705,178.80

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Solution

The fourth proportional to 536,699,687.60, 805,049,531.40 and 407,705,178.80 is: 611,557,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,699,687.60 : 805,049,531.40 = 407,705,178.80 : x
  2. Step 2: Convert to fraction form
    536,699,687.60/805,049,531.40 = 407,705,178.80/x
  3. Step 3: Cross multiply
    536,699,687.60x = 805,049,531.40 × 407,705,178.80
  4. Step 4: Simplify right side
    536,699,687.60x = 328,222,863,142,293,184
  5. Step 5: Solve for x
    x = 328,222,863,142,293,184/536,699,687.60
  6. Step 6: Final answer
    x = 611,557,768.20

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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.