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Finding the Fourth Proportional to 257,904.84, 386,356.68 and 145,241.40

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Solution

The fourth proportional to 257,904.84, 386,356.68 and 145,241.40 is: 217,580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,904.84 : 386,356.68 = 145,241.40 : x
  2. Step 2: Convert to fraction form
    257,904.84/386,356.68 = 145,241.40/x
  3. Step 3: Cross multiply
    257,904.84x = 386,356.68 × 145,241.40
  4. Step 4: Simplify right side
    257,904.84x = 56,114,985,102.55
  5. Step 5: Solve for x
    x = 56,114,985,102.55/257,904.84
  6. Step 6: Final answer
    x = 217,580.19

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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.