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Finding the Fourth Proportional to 399,457,000.20, 598,289,705.10 and 399,457,000.20

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Solution

The fourth proportional to 399,457,000.20, 598,289,705.10 and 399,457,000.20 is: 598,289,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,457,000.20 : 598,289,705.10 = 399,457,000.20 : x
  2. Step 2: Convert to fraction form
    399,457,000.20/598,289,705.10 = 399,457,000.20/x
  3. Step 3: Cross multiply
    399,457,000.20x = 598,289,705.10 × 399,457,000.20
  4. Step 4: Simplify right side
    399,457,000.20x = 238,991,010,849,788,640
  5. Step 5: Solve for x
    x = 238,991,010,849,788,640/399,457,000.20
  6. Step 6: Final answer
    x = 598,289,705.10

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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.