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Finding the Fourth Proportional to 288,703.85, 432,424.68 and 146,304.69

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Solution

The fourth proportional to 288,703.85, 432,424.68 and 146,304.69 is: 219,137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,703.85 : 432,424.68 = 146,304.69 : x
  2. Step 2: Convert to fraction form
    288,703.85/432,424.68 = 146,304.69/x
  3. Step 3: Cross multiply
    288,703.85x = 432,424.68 × 146,304.69
  4. Step 4: Simplify right side
    288,703.85x = 63,265,758,755.75
  5. Step 5: Solve for x
    x = 63,265,758,755.75/288,703.85
  6. Step 6: Final answer
    x = 219,137.22

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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.