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Finding the Fourth Proportional to 257,349.15, 355,161.51 and 148,473

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Solution

The fourth proportional to 257,349.15, 355,161.51 and 148,473 is: 204,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,349.15 : 355,161.51 = 148,473 : x
  2. Step 2: Convert to fraction form
    257,349.15/355,161.51 = 148,473/x
  3. Step 3: Cross multiply
    257,349.15x = 355,161.51 × 148,473
  4. Step 4: Simplify right side
    257,349.15x = 52,731,894,874.23
  5. Step 5: Solve for x
    x = 52,731,894,874.23/257,349.15
  6. Step 6: Final answer
    x = 204,904.10

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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.