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Finding the Fourth Proportional to 529,371, 730,531.98 and 290,907

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Solution

The fourth proportional to 529,371, 730,531.98 and 290,907 is: 401,451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,371 : 730,531.98 = 290,907 : x
  2. Step 2: Convert to fraction form
    529,371/730,531.98 = 290,907/x
  3. Step 3: Cross multiply
    529,371x = 730,531.98 × 290,907
  4. Step 4: Simplify right side
    529,371x = 212,516,866,705.86
  5. Step 5: Solve for x
    x = 212,516,866,705.86/529,371
  6. Step 6: Final answer
    x = 401,451.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.