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Finding the Fourth Proportional to 575,740.98, 864,359.83 and 442,714.65

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Solution

The fourth proportional to 575,740.98, 864,359.83 and 442,714.65 is: 664,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,740.98 : 864,359.83 = 442,714.65 : x
  2. Step 2: Convert to fraction form
    575,740.98/864,359.83 = 442,714.65/x
  3. Step 3: Cross multiply
    575,740.98x = 864,359.83 × 442,714.65
  4. Step 4: Simplify right side
    575,740.98x = 382,664,759,612.51
  5. Step 5: Solve for x
    x = 382,664,759,612.51/575,740.98
  6. Step 6: Final answer
    x = 664,647.42

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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.