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Finding the Fourth Proportional to 529,745, 731,050.80 and 288,029.48

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Solution

The fourth proportional to 529,745, 731,050.80 and 288,029.48 is: 397,482.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,745 : 731,050.80 = 288,029.48 : x
  2. Step 2: Convert to fraction form
    529,745/731,050.80 = 288,029.48/x
  3. Step 3: Cross multiply
    529,745x = 731,050.80 × 288,029.48
  4. Step 4: Simplify right side
    529,745x = 210,564,181,777.58
  5. Step 5: Solve for x
    x = 210,564,181,777.58/529,745
  6. Step 6: Final answer
    x = 397,482.15

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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.