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Finding the Fourth Proportional to 566,798.30, 782,176.47 and 312,144.02

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Solution

The fourth proportional to 566,798.30, 782,176.47 and 312,144.02 is: 430,755.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,798.30 : 782,176.47 = 312,144.02 : x
  2. Step 2: Convert to fraction form
    566,798.30/782,176.47 = 312,144.02/x
  3. Step 3: Cross multiply
    566,798.30x = 782,176.47 × 312,144.02
  4. Step 4: Simplify right side
    566,798.30x = 244,151,707,695.21
  5. Step 5: Solve for x
    x = 244,151,707,695.21/566,798.30
  6. Step 6: Final answer
    x = 430,755.89

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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.