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Finding the Fourth Proportional to 257,763.60, 386,743.95 and 145,570.50

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Solution

The fourth proportional to 257,763.60, 386,743.95 and 145,570.50 is: 218,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,763.60 : 386,743.95 = 145,570.50 : x
  2. Step 2: Convert to fraction form
    257,763.60/386,743.95 = 145,570.50/x
  3. Step 3: Cross multiply
    257,763.60x = 386,743.95 × 145,570.50
  4. Step 4: Simplify right side
    257,763.60x = 56,298,510,173.48
  5. Step 5: Solve for x
    x = 56,298,510,173.48/257,763.60
  6. Step 6: Final answer
    x = 218,411.41

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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.