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Finding the Fourth Proportional to 535,830, 739,445.40 and 297,366

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Solution

The fourth proportional to 535,830, 739,445.40 and 297,366 is: 410,365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,830 : 739,445.40 = 297,366 : x
  2. Step 2: Convert to fraction form
    535,830/739,445.40 = 297,366/x
  3. Step 3: Cross multiply
    535,830x = 739,445.40 × 297,366
  4. Step 4: Simplify right side
    535,830x = 219,885,920,816.40
  5. Step 5: Solve for x
    x = 219,885,920,816.40/535,830
  6. Step 6: Final answer
    x = 410,365.08

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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.