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Finding the Fourth Proportional to 472,462.74, 651,984.39 and 257,607

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Solution

The fourth proportional to 472,462.74, 651,984.39 and 257,607 is: 355,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,462.74 : 651,984.39 = 257,607 : x
  2. Step 2: Convert to fraction form
    472,462.74/651,984.39 = 257,607/x
  3. Step 3: Cross multiply
    472,462.74x = 651,984.39 × 257,607
  4. Step 4: Simplify right side
    472,462.74x = 167,955,742,754.73
  5. Step 5: Solve for x
    x = 167,955,742,754.73/472,462.74
  6. Step 6: Final answer
    x = 355,489.92

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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.