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Finding the Fourth Proportional to 290,328,008.10, 435,492,012.15 and 290,328,008.10

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Solution

The fourth proportional to 290,328,008.10, 435,492,012.15 and 290,328,008.10 is: 435,492,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,328,008.10 : 435,492,012.15 = 290,328,008.10 : x
  2. Step 2: Convert to fraction form
    290,328,008.10/435,492,012.15 = 290,328,008.10/x
  3. Step 3: Cross multiply
    290,328,008.10x = 435,492,012.15 × 290,328,008.10
  4. Step 4: Simplify right side
    290,328,008.10x = 126,435,528,430,970,496
  5. Step 5: Solve for x
    x = 126,435,528,430,970,496/290,328,008.10
  6. Step 6: Final answer
    x = 435,492,012.15

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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.