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Finding the Fourth Proportional to 288,045.45, 432,068.18 and 280,269.45

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Solution

The fourth proportional to 288,045.45, 432,068.18 and 280,269.45 is: 420,404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,045.45 : 432,068.18 = 280,269.45 : x
  2. Step 2: Convert to fraction form
    288,045.45/432,068.18 = 280,269.45/x
  3. Step 3: Cross multiply
    288,045.45x = 432,068.18 × 280,269.45
  4. Step 4: Simplify right side
    288,045.45x = 121,095,509,769.75
  5. Step 5: Solve for x
    x = 121,095,509,769.75/288,045.45
  6. Step 6: Final answer
    x = 420,404.18

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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.