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Finding the Fourth Proportional to 472,324.74, 651,795.18 and 257,469

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Solution

The fourth proportional to 472,324.74, 651,795.18 and 257,469 is: 355,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,324.74 : 651,795.18 = 257,469 : x
  2. Step 2: Convert to fraction form
    472,324.74/651,795.18 = 257,469/x
  3. Step 3: Cross multiply
    472,324.74x = 651,795.18 × 257,469
  4. Step 4: Simplify right side
    472,324.74x = 167,817,053,199.42
  5. Step 5: Solve for x
    x = 167,817,053,199.42/472,324.74
  6. Step 6: Final answer
    x = 355,300.15

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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.