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Finding the Fourth Proportional to 343,650.72, 473,160.24 and 312,157.92

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Solution

The fourth proportional to 343,650.72, 473,160.24 and 312,157.92 is: 429,798.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,650.72 : 473,160.24 = 312,157.92 : x
  2. Step 2: Convert to fraction form
    343,650.72/473,160.24 = 312,157.92/x
  3. Step 3: Cross multiply
    343,650.72x = 473,160.24 × 312,157.92
  4. Step 4: Simplify right side
    343,650.72x = 147,700,716,345.10
  5. Step 5: Solve for x
    x = 147,700,716,345.10/343,650.72
  6. Step 6: Final answer
    x = 429,798.94

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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.