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Finding the Fourth Proportional to 652,670.50, 900,742.29 and 380,825.98

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Solution

The fourth proportional to 652,670.50, 900,742.29 and 380,825.98 is: 525,573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,670.50 : 900,742.29 = 380,825.98 : x
  2. Step 2: Convert to fraction form
    652,670.50/900,742.29 = 380,825.98/x
  3. Step 3: Cross multiply
    652,670.50x = 900,742.29 × 380,825.98
  4. Step 4: Simplify right side
    652,670.50x = 343,026,065,316.69
  5. Step 5: Solve for x
    x = 343,026,065,316.69/652,670.50
  6. Step 6: Final answer
    x = 525,573.11

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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.