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Finding the Fourth Proportional to 511,199.09, 766,798.63 and 156,210.03

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Solution

The fourth proportional to 511,199.09, 766,798.63 and 156,210.03 is: 234,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,199.09 : 766,798.63 = 156,210.03 : x
  2. Step 2: Convert to fraction form
    511,199.09/766,798.63 = 156,210.03/x
  3. Step 3: Cross multiply
    511,199.09x = 766,798.63 × 156,210.03
  4. Step 4: Simplify right side
    511,199.09x = 119,781,636,996.26
  5. Step 5: Solve for x
    x = 119,781,636,996.26/511,199.09
  6. Step 6: Final answer
    x = 234,315.04

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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.