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Finding the Fourth Proportional to 384,925.80, 576,006.30 and 260,509.80

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Solution

The fourth proportional to 384,925.80, 576,006.30 and 260,509.80 is: 389,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,925.80 : 576,006.30 = 260,509.80 : x
  2. Step 2: Convert to fraction form
    384,925.80/576,006.30 = 260,509.80/x
  3. Step 3: Cross multiply
    384,925.80x = 576,006.30 × 260,509.80
  4. Step 4: Simplify right side
    384,925.80x = 150,055,286,011.74
  5. Step 5: Solve for x
    x = 150,055,286,011.74/384,925.80
  6. Step 6: Final answer
    x = 389,829.12

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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.