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Finding the Fourth Proportional to 385,752.64, 578,568.80 and 105,291.84

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Solution

The fourth proportional to 385,752.64, 578,568.80 and 105,291.84 is: 157,921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,752.64 : 578,568.80 = 105,291.84 : x
  2. Step 2: Convert to fraction form
    385,752.64/578,568.80 = 105,291.84/x
  3. Step 3: Cross multiply
    385,752.64x = 578,568.80 × 105,291.84
  4. Step 4: Simplify right side
    385,752.64x = 60,918,573,518.59
  5. Step 5: Solve for x
    x = 60,918,573,518.59/385,752.64
  6. Step 6: Final answer
    x = 157,921.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.