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Finding the Fourth Proportional to 525,139.40, 786,672.30 and 314,150.60

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Solution

The fourth proportional to 525,139.40, 786,672.30 and 314,150.60 is: 470,605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,139.40 : 786,672.30 = 314,150.60 : x
  2. Step 2: Convert to fraction form
    525,139.40/786,672.30 = 314,150.60/x
  3. Step 3: Cross multiply
    525,139.40x = 786,672.30 × 314,150.60
  4. Step 4: Simplify right side
    525,139.40x = 247,133,575,048.38
  5. Step 5: Solve for x
    x = 247,133,575,048.38/525,139.40
  6. Step 6: Final answer
    x = 470,605.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.