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Finding the Fourth Proportional to 342,377.12, 514,064.19 and 243,064.64

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Solution

The fourth proportional to 342,377.12, 514,064.19 and 243,064.64 is: 364,950.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,377.12 : 514,064.19 = 243,064.64 : x
  2. Step 2: Convert to fraction form
    342,377.12/514,064.19 = 243,064.64/x
  3. Step 3: Cross multiply
    342,377.12x = 514,064.19 × 243,064.64
  4. Step 4: Simplify right side
    342,377.12x = 124,950,827,279.24
  5. Step 5: Solve for x
    x = 124,950,827,279.24/342,377.12
  6. Step 6: Final answer
    x = 364,950.87

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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.