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Finding the Fourth Proportional to 529,813.30, 731,214.93 and 402,286.90

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Solution

The fourth proportional to 529,813.30, 731,214.93 and 402,286.90 is: 555,211.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,813.30 : 731,214.93 = 402,286.90 : x
  2. Step 2: Convert to fraction form
    529,813.30/731,214.93 = 402,286.90/x
  3. Step 3: Cross multiply
    529,813.30x = 731,214.93 × 402,286.90
  4. Step 4: Simplify right side
    529,813.30x = 294,158,187,423.42
  5. Step 5: Solve for x
    x = 294,158,187,423.42/529,813.30
  6. Step 6: Final answer
    x = 555,211.03

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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.