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Finding the Fourth Proportional to 383,997.60, 575,218.80 and 265,802.40

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Solution

The fourth proportional to 383,997.60, 575,218.80 and 265,802.40 is: 398,165.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,997.60 : 575,218.80 = 265,802.40 : x
  2. Step 2: Convert to fraction form
    383,997.60/575,218.80 = 265,802.40/x
  3. Step 3: Cross multiply
    383,997.60x = 575,218.80 × 265,802.40
  4. Step 4: Simplify right side
    383,997.60x = 152,894,537,565.12
  5. Step 5: Solve for x
    x = 152,894,537,565.12/383,997.60
  6. Step 6: Final answer
    x = 398,165.35

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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.