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Finding the Fourth Proportional to 287,260, 430,897.68 and 97,720

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Solution

The fourth proportional to 287,260, 430,897.68 and 97,720 is: 146,582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,260 : 430,897.68 = 97,720 : x
  2. Step 2: Convert to fraction form
    287,260/430,897.68 = 97,720/x
  3. Step 3: Cross multiply
    287,260x = 430,897.68 × 97,720
  4. Step 4: Simplify right side
    287,260x = 42,107,321,289.60
  5. Step 5: Solve for x
    x = 42,107,321,289.60/287,260
  6. Step 6: Final answer
    x = 146,582.61

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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.