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Finding the Fourth Proportional to 385,573.16, 578,459.53 and 225,784.11

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Solution

The fourth proportional to 385,573.16, 578,459.53 and 225,784.11 is: 338,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,573.16 : 578,459.53 = 225,784.11 : x
  2. Step 2: Convert to fraction form
    385,573.16/578,459.53 = 225,784.11/x
  3. Step 3: Cross multiply
    385,573.16x = 578,459.53 × 225,784.11
  4. Step 4: Simplify right side
    385,573.16x = 130,606,968,079.65
  5. Step 5: Solve for x
    x = 130,606,968,079.65/385,573.16
  6. Step 6: Final answer
    x = 338,734.59

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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.