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Finding the Fourth Proportional to 489,678.82, 734,259.80 and 152,656.65

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Solution

The fourth proportional to 489,678.82, 734,259.80 and 152,656.65 is: 228,904.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,678.82 : 734,259.80 = 152,656.65 : x
  2. Step 2: Convert to fraction form
    489,678.82/734,259.80 = 152,656.65/x
  3. Step 3: Cross multiply
    489,678.82x = 734,259.80 × 152,656.65
  4. Step 4: Simplify right side
    489,678.82x = 112,089,641,679.31
  5. Step 5: Solve for x
    x = 112,089,641,679.31/489,678.82
  6. Step 6: Final answer
    x = 228,904.41

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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.