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Finding the Fourth Proportional to 385,482.09, 578,043.20 and 145,411.02

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Solution

The fourth proportional to 385,482.09, 578,043.20 and 145,411.02 is: 218,048.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,482.09 : 578,043.20 = 145,411.02 : x
  2. Step 2: Convert to fraction form
    385,482.09/578,043.20 = 145,411.02/x
  3. Step 3: Cross multiply
    385,482.09x = 578,043.20 × 145,411.02
  4. Step 4: Simplify right side
    385,482.09x = 84,053,850,589.01
  5. Step 5: Solve for x
    x = 84,053,850,589.01/385,482.09
  6. Step 6: Final answer
    x = 218,048.65

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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.