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Finding the Fourth Proportional to 265,729.15, 398,220.71 and 145,476.95

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Solution

The fourth proportional to 265,729.15, 398,220.71 and 145,476.95 is: 218,011.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,729.15 : 398,220.71 = 145,476.95 : x
  2. Step 2: Convert to fraction form
    265,729.15/398,220.71 = 145,476.95/x
  3. Step 3: Cross multiply
    265,729.15x = 398,220.71 × 145,476.95
  4. Step 4: Simplify right side
    265,729.15x = 57,931,934,317.63
  5. Step 5: Solve for x
    x = 57,931,934,317.63/265,729.15
  6. Step 6: Final answer
    x = 218,011.22

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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.