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Finding the Fourth Proportional to 257,756.48, 386,440.32 and 169,032.32

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Solution

The fourth proportional to 257,756.48, 386,440.32 and 169,032.32 is: 253,421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,756.48 : 386,440.32 = 169,032.32 : x
  2. Step 2: Convert to fraction form
    257,756.48/386,440.32 = 169,032.32/x
  3. Step 3: Cross multiply
    257,756.48x = 386,440.32 × 169,032.32
  4. Step 4: Simplify right side
    257,756.48x = 65,320,903,831.14
  5. Step 5: Solve for x
    x = 65,320,903,831.14/257,756.48
  6. Step 6: Final answer
    x = 253,421.00

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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.