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Finding the Fourth Proportional to 290,798.48, 436,218.46 and 77,565.19

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Solution

The fourth proportional to 290,798.48, 436,218.46 and 77,565.19 is: 116,353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,798.48 : 436,218.46 = 77,565.19 : x
  2. Step 2: Convert to fraction form
    290,798.48/436,218.46 = 77,565.19/x
  3. Step 3: Cross multiply
    290,798.48x = 436,218.46 × 77,565.19
  4. Step 4: Simplify right side
    290,798.48x = 33,835,367,731.41
  5. Step 5: Solve for x
    x = 33,835,367,731.41/290,798.48
  6. Step 6: Final answer
    x = 116,353.32

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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.