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Finding the Fourth Proportional to 385,264.42, 578,011.11 and 185,527.06

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Solution

The fourth proportional to 385,264.42, 578,011.11 and 185,527.06 is: 278,345.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,264.42 : 578,011.11 = 185,527.06 : x
  2. Step 2: Convert to fraction form
    385,264.42/578,011.11 = 185,527.06/x
  3. Step 3: Cross multiply
    385,264.42x = 578,011.11 × 185,527.06
  4. Step 4: Simplify right side
    385,264.42x = 107,236,701,885.64
  5. Step 5: Solve for x
    x = 107,236,701,885.64/385,264.42
  6. Step 6: Final answer
    x = 278,345.72

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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.