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Finding the Fourth Proportional to 429,103.76, 591,751.28 and 256,994.16

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Solution

The fourth proportional to 429,103.76, 591,751.28 and 256,994.16 is: 354,405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,103.76 : 591,751.28 = 256,994.16 : x
  2. Step 2: Convert to fraction form
    429,103.76/591,751.28 = 256,994.16/x
  3. Step 3: Cross multiply
    429,103.76x = 591,751.28 × 256,994.16
  4. Step 4: Simplify right side
    429,103.76x = 152,076,623,132.53
  5. Step 5: Solve for x
    x = 152,076,623,132.53/429,103.76
  6. Step 6: Final answer
    x = 354,405.24

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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.