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Finding the Fourth Proportional to 385,643.10, 578,464.65 and 227,790.30

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Solution

The fourth proportional to 385,643.10, 578,464.65 and 227,790.30 is: 341,685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,643.10 : 578,464.65 = 227,790.30 : x
  2. Step 2: Convert to fraction form
    385,643.10/578,464.65 = 227,790.30/x
  3. Step 3: Cross multiply
    385,643.10x = 578,464.65 × 227,790.30
  4. Step 4: Simplify right side
    385,643.10x = 131,768,636,162.90
  5. Step 5: Solve for x
    x = 131,768,636,162.90/385,643.10
  6. Step 6: Final answer
    x = 341,685.45

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1.5x scale

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.