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Finding the Fourth Proportional to 385,676.55, 578,514.83 and 286,277.40

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Solution

The fourth proportional to 385,676.55, 578,514.83 and 286,277.40 is: 429,416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,676.55 : 578,514.83 = 286,277.40 : x
  2. Step 2: Convert to fraction form
    385,676.55/578,514.83 = 286,277.40/x
  3. Step 3: Cross multiply
    385,676.55x = 578,514.83 × 286,277.40
  4. Step 4: Simplify right side
    385,676.55x = 165,615,719,962.46
  5. Step 5: Solve for x
    x = 165,615,719,962.46/385,676.55
  6. Step 6: Final answer
    x = 429,416.10

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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.