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Finding the Fourth Proportional to 257,468.40, 385,619.40 and 152,492.40

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Solution

The fourth proportional to 257,468.40, 385,619.40 and 152,492.40 is: 228,393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,468.40 : 385,619.40 = 152,492.40 : x
  2. Step 2: Convert to fraction form
    257,468.40/385,619.40 = 152,492.40/x
  3. Step 3: Cross multiply
    257,468.40x = 385,619.40 × 152,492.40
  4. Step 4: Simplify right side
    257,468.40x = 58,804,027,792.56
  5. Step 5: Solve for x
    x = 58,804,027,792.56/257,468.40
  6. Step 6: Final answer
    x = 228,393.18

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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.