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Finding the Fourth Proportional to 384,909.87, 577,526.30 and 171,530.81

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Solution

The fourth proportional to 384,909.87, 577,526.30 and 171,530.81 is: 257,368.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,909.87 : 577,526.30 = 171,530.81 : x
  2. Step 2: Convert to fraction form
    384,909.87/577,526.30 = 171,530.81/x
  3. Step 3: Cross multiply
    384,909.87x = 577,526.30 × 171,530.81
  4. Step 4: Simplify right side
    384,909.87x = 99,063,557,312.43
  5. Step 5: Solve for x
    x = 99,063,557,312.43/384,909.87
  6. Step 6: Final answer
    x = 257,368.19

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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.