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Finding the Fourth Proportional to 353,645.80, 530,468.70 and 314,938.60

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Solution

The fourth proportional to 353,645.80, 530,468.70 and 314,938.60 is: 472,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,645.80 : 530,468.70 = 314,938.60 : x
  2. Step 2: Convert to fraction form
    353,645.80/530,468.70 = 314,938.60/x
  3. Step 3: Cross multiply
    353,645.80x = 530,468.70 × 314,938.60
  4. Step 4: Simplify right side
    353,645.80x = 167,065,069,721.82
  5. Step 5: Solve for x
    x = 167,065,069,721.82/353,645.80
  6. Step 6: Final answer
    x = 472,407.90

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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.