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Finding the Fourth Proportional to 288,004.65, 432,006.98 and 259,464.30

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Solution

The fourth proportional to 288,004.65, 432,006.98 and 259,464.30 is: 389,196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,004.65 : 432,006.98 = 259,464.30 : x
  2. Step 2: Convert to fraction form
    288,004.65/432,006.98 = 259,464.30/x
  3. Step 3: Cross multiply
    288,004.65x = 432,006.98 × 259,464.30
  4. Step 4: Simplify right side
    288,004.65x = 112,090,387,363.49
  5. Step 5: Solve for x
    x = 112,090,387,363.49/288,004.65
  6. Step 6: Final answer
    x = 389,196.45

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Similar ratio
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1.5x scale

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.