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Finding the Fourth Proportional to 525,714.80, 788,486.04 and 146,661.20

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Solution

The fourth proportional to 525,714.80, 788,486.04 and 146,661.20 is: 219,967.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,714.80 : 788,486.04 = 146,661.20 : x
  2. Step 2: Convert to fraction form
    525,714.80/788,486.04 = 146,661.20/x
  3. Step 3: Cross multiply
    525,714.80x = 788,486.04 × 146,661.20
  4. Step 4: Simplify right side
    525,714.80x = 115,640,308,809.65
  5. Step 5: Solve for x
    x = 115,640,308,809.65/525,714.80
  6. Step 6: Final answer
    x = 219,967.76

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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.