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Finding the Fourth Proportional to 288,001.90, 432,002.85 and 256,509.10

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Solution

The fourth proportional to 288,001.90, 432,002.85 and 256,509.10 is: 384,763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,001.90 : 432,002.85 = 256,509.10 : x
  2. Step 2: Convert to fraction form
    288,001.90/432,002.85 = 256,509.10/x
  3. Step 3: Cross multiply
    288,001.90x = 432,002.85 × 256,509.10
  4. Step 4: Simplify right side
    288,001.90x = 110,812,662,250.94
  5. Step 5: Solve for x
    x = 110,812,662,250.94/288,001.90
  6. Step 6: Final answer
    x = 384,763.65

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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.