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Finding the Fourth Proportional to 665,573,364.60, 996,446,859.30 and 407,293,038.60

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Solution

The fourth proportional to 665,573,364.60, 996,446,859.30 and 407,293,038.60 is: 609,768,795.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,573,364.60 : 996,446,859.30 = 407,293,038.60 : x
  2. Step 2: Convert to fraction form
    665,573,364.60/996,446,859.30 = 407,293,038.60/x
  3. Step 3: Cross multiply
    665,573,364.60x = 996,446,859.30 × 407,293,038.60
  4. Step 4: Simplify right side
    665,573,364.60x = 405,845,869,127,723,648
  5. Step 5: Solve for x
    x = 405,845,869,127,723,648/665,573,364.60
  6. Step 6: Final answer
    x = 609,768,795.92

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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.