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Finding the Fourth Proportional to 874,489.76, 1,206,798.24 and 507,038.24

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Solution

The fourth proportional to 874,489.76, 1,206,798.24 and 507,038.24 is: 699,714.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,489.76 : 1,206,798.24 = 507,038.24 : x
  2. Step 2: Convert to fraction form
    874,489.76/1,206,798.24 = 507,038.24/x
  3. Step 3: Cross multiply
    874,489.76x = 1,206,798.24 × 507,038.24
  4. Step 4: Simplify right side
    874,489.76x = 611,892,855,644.70
  5. Step 5: Solve for x
    x = 611,892,855,644.70/874,489.76
  6. Step 6: Final answer
    x = 699,714.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.