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Finding the Fourth Proportional to 577,207.40, 865,811.10 and 417,775.10

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Solution

The fourth proportional to 577,207.40, 865,811.10 and 417,775.10 is: 626,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,207.40 : 865,811.10 = 417,775.10 : x
  2. Step 2: Convert to fraction form
    577,207.40/865,811.10 = 417,775.10/x
  3. Step 3: Cross multiply
    577,207.40x = 865,811.10 × 417,775.10
  4. Step 4: Simplify right side
    577,207.40x = 361,714,318,883.61
  5. Step 5: Solve for x
    x = 361,714,318,883.61/577,207.40
  6. Step 6: Final answer
    x = 626,662.65

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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.