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Finding the Fourth Proportional to 384,986.60, 577,479.90 and 346,279.40

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Solution

The fourth proportional to 384,986.60, 577,479.90 and 346,279.40 is: 519,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,986.60 : 577,479.90 = 346,279.40 : x
  2. Step 2: Convert to fraction form
    384,986.60/577,479.90 = 346,279.40/x
  3. Step 3: Cross multiply
    384,986.60x = 577,479.90 × 346,279.40
  4. Step 4: Simplify right side
    384,986.60x = 199,969,393,284.06
  5. Step 5: Solve for x
    x = 199,969,393,284.06/384,986.60
  6. Step 6: Final answer
    x = 519,419.10

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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.