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Finding the Fourth Proportional to 458,536.50, 632,838.69 and 257,332.50

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Solution

The fourth proportional to 458,536.50, 632,838.69 and 257,332.50 is: 355,151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,536.50 : 632,838.69 = 257,332.50 : x
  2. Step 2: Convert to fraction form
    458,536.50/632,838.69 = 257,332.50/x
  3. Step 3: Cross multiply
    458,536.50x = 632,838.69 × 257,332.50
  4. Step 4: Simplify right side
    458,536.50x = 162,849,962,194.43
  5. Step 5: Solve for x
    x = 162,849,962,194.43/458,536.50
  6. Step 6: Final answer
    x = 355,151.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.