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Finding the Fourth Proportional to 384,657.72, 577,004.40 and 118,430.16

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Solution

The fourth proportional to 384,657.72, 577,004.40 and 118,430.16 is: 177,650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,657.72 : 577,004.40 = 118,430.16 : x
  2. Step 2: Convert to fraction form
    384,657.72/577,004.40 = 118,430.16/x
  3. Step 3: Cross multiply
    384,657.72x = 577,004.40 × 118,430.16
  4. Step 4: Simplify right side
    384,657.72x = 68,334,723,412.70
  5. Step 5: Solve for x
    x = 68,334,723,412.70/384,657.72
  6. Step 6: Final answer
    x = 177,650.73

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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.