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Finding the Fourth Proportional to 385,714.80, 578,364.84 and 119,360.88

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Solution

The fourth proportional to 385,714.80, 578,364.84 and 119,360.88 is: 178,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,714.80 : 578,364.84 = 119,360.88 : x
  2. Step 2: Convert to fraction form
    385,714.80/578,364.84 = 119,360.88/x
  3. Step 3: Cross multiply
    385,714.80x = 578,364.84 × 119,360.88
  4. Step 4: Simplify right side
    385,714.80x = 69,034,136,263.46
  5. Step 5: Solve for x
    x = 69,034,136,263.46/385,714.80
  6. Step 6: Final answer
    x = 178,977.15

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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.