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Finding the Fourth Proportional to 384,809.60, 577,214.40 and 278,521.40

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Solution

The fourth proportional to 384,809.60, 577,214.40 and 278,521.40 is: 417,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,809.60 : 577,214.40 = 278,521.40 : x
  2. Step 2: Convert to fraction form
    384,809.60/577,214.40 = 278,521.40/x
  3. Step 3: Cross multiply
    384,809.60x = 577,214.40 × 278,521.40
  4. Step 4: Simplify right side
    384,809.60x = 160,766,562,788.16
  5. Step 5: Solve for x
    x = 160,766,562,788.16/384,809.60
  6. Step 6: Final answer
    x = 417,782.10

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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.