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Finding the Fourth Proportional to 390,031.56, 584,915.58 and 109,482.12

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Solution

The fourth proportional to 390,031.56, 584,915.58 and 109,482.12 is: 164,186.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,031.56 : 584,915.58 = 109,482.12 : x
  2. Step 2: Convert to fraction form
    390,031.56/584,915.58 = 109,482.12/x
  3. Step 3: Cross multiply
    390,031.56x = 584,915.58 × 109,482.12
  4. Step 4: Simplify right side
    390,031.56x = 64,037,797,719.43
  5. Step 5: Solve for x
    x = 64,037,797,719.43/390,031.56
  6. Step 6: Final answer
    x = 164,186.19

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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.