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Finding the Fourth Proportional to 652,671, 900,742.98 and 380,826.48

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Solution

The fourth proportional to 652,671, 900,742.98 and 380,826.48 is: 525,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,671 : 900,742.98 = 380,826.48 : x
  2. Step 2: Convert to fraction form
    652,671/900,742.98 = 380,826.48/x
  3. Step 3: Cross multiply
    652,671x = 900,742.98 × 380,826.48
  4. Step 4: Simplify right side
    652,671x = 343,026,778,458.11
  5. Step 5: Solve for x
    x = 343,026,778,458.11/652,671
  6. Step 6: Final answer
    x = 525,573.80

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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.