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Finding the Fourth Proportional to 265,707.78, 398,221.43 and 145,762.98

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Solution

The fourth proportional to 265,707.78, 398,221.43 and 145,762.98 is: 218,457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,707.78 : 398,221.43 = 145,762.98 : x
  2. Step 2: Convert to fraction form
    265,707.78/398,221.43 = 145,762.98/x
  3. Step 3: Cross multiply
    265,707.78x = 398,221.43 × 145,762.98
  4. Step 4: Simplify right side
    265,707.78x = 58,045,941,607.85
  5. Step 5: Solve for x
    x = 58,045,941,607.85/265,707.78
  6. Step 6: Final answer
    x = 218,457.82

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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.