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Finding the Fourth Proportional to 288,398.75, 432,598.16 and 188,642.86

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Solution

The fourth proportional to 288,398.75, 432,598.16 and 188,642.86 is: 282,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,398.75 : 432,598.16 = 188,642.86 : x
  2. Step 2: Convert to fraction form
    288,398.75/432,598.16 = 188,642.86/x
  3. Step 3: Cross multiply
    288,398.75x = 432,598.16 × 188,642.86
  4. Step 4: Simplify right side
    288,398.75x = 81,606,553,523.25
  5. Step 5: Solve for x
    x = 81,606,553,523.25/288,398.75
  6. Step 6: Final answer
    x = 282,964.32

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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.