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Finding the Fourth Proportional to 472,511.20, 652,041.48 and 257,649.52

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Solution

The fourth proportional to 472,511.20, 652,041.48 and 257,649.52 is: 355,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,511.20 : 652,041.48 = 257,649.52 : x
  2. Step 2: Convert to fraction form
    472,511.20/652,041.48 = 257,649.52/x
  3. Step 3: Cross multiply
    472,511.20x = 652,041.48 × 257,649.52
  4. Step 4: Simplify right side
    472,511.20x = 167,998,174,342.09
  5. Step 5: Solve for x
    x = 167,998,174,342.09/472,511.20
  6. Step 6: Final answer
    x = 355,543.26

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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.