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Finding the Fourth Proportional to 399,178,998.90, 598,768,498.35 and 291,683,574.90

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Solution

The fourth proportional to 399,178,998.90, 598,768,498.35 and 291,683,574.90 is: 437,525,362.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,178,998.90 : 598,768,498.35 = 291,683,574.90 : x
  2. Step 2: Convert to fraction form
    399,178,998.90/598,768,498.35 = 291,683,574.90/x
  3. Step 3: Cross multiply
    399,178,998.90x = 598,768,498.35 × 291,683,574.90
  4. Step 4: Simplify right side
    399,178,998.90x = 174,650,936,136,232,736
  5. Step 5: Solve for x
    x = 174,650,936,136,232,736/399,178,998.90
  6. Step 6: Final answer
    x = 437,525,362.35

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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.