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Finding the Fourth Proportional to 529,689, 730,970.82 and 291,225

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Solution

The fourth proportional to 529,689, 730,970.82 and 291,225 is: 401,890.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,689 : 730,970.82 = 291,225 : x
  2. Step 2: Convert to fraction form
    529,689/730,970.82 = 291,225/x
  3. Step 3: Cross multiply
    529,689x = 730,970.82 × 291,225
  4. Step 4: Simplify right side
    529,689x = 212,876,977,054.50
  5. Step 5: Solve for x
    x = 212,876,977,054.50/529,689
  6. Step 6: Final answer
    x = 401,890.50

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1.5x scale

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.