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Finding the Fourth Proportional to 529,700, 730,986 and 291,236

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Solution

The fourth proportional to 529,700, 730,986 and 291,236 is: 401,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,700 : 730,986 = 291,236 : x
  2. Step 2: Convert to fraction form
    529,700/730,986 = 291,236/x
  3. Step 3: Cross multiply
    529,700x = 730,986 × 291,236
  4. Step 4: Simplify right side
    529,700x = 212,889,438,696
  5. Step 5: Solve for x
    x = 212,889,438,696/529,700
  6. Step 6: Final answer
    x = 401,905.68

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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.