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Finding the Fourth Proportional to 200,411,951.40, 300,617,927.10 and 123,884,447.40

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Solution

The fourth proportional to 200,411,951.40, 300,617,927.10 and 123,884,447.40 is: 185,826,671.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,411,951.40 : 300,617,927.10 = 123,884,447.40 : x
  2. Step 2: Convert to fraction form
    200,411,951.40/300,617,927.10 = 123,884,447.40/x
  3. Step 3: Cross multiply
    200,411,951.40x = 300,617,927.10 × 123,884,447.40
  4. Step 4: Simplify right side
    200,411,951.40x = 37,241,885,777,316,992
  5. Step 5: Solve for x
    x = 37,241,885,777,316,992/200,411,951.40
  6. Step 6: Final answer
    x = 185,826,671.10

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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.