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Finding the Fourth Proportional to 288,327.48, 432,646.32 and 119,964

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Solution

The fourth proportional to 288,327.48, 432,646.32 and 119,964 is: 180,010.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,327.48 : 432,646.32 = 119,964 : x
  2. Step 2: Convert to fraction form
    288,327.48/432,646.32 = 119,964/x
  3. Step 3: Cross multiply
    288,327.48x = 432,646.32 × 119,964
  4. Step 4: Simplify right side
    288,327.48x = 51,901,983,132.48
  5. Step 5: Solve for x
    x = 51,901,983,132.48/288,327.48
  6. Step 6: Final answer
    x = 180,010.53

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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.