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Finding the Fourth Proportional to 314,020.10, 471,030.15 and 279,613.70

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Solution

The fourth proportional to 314,020.10, 471,030.15 and 279,613.70 is: 419,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,020.10 : 471,030.15 = 279,613.70 : x
  2. Step 2: Convert to fraction form
    314,020.10/471,030.15 = 279,613.70/x
  3. Step 3: Cross multiply
    314,020.10x = 471,030.15 × 279,613.70
  4. Step 4: Simplify right side
    314,020.10x = 131,706,483,053.06
  5. Step 5: Solve for x
    x = 131,706,483,053.06/314,020.10
  6. Step 6: Final answer
    x = 419,420.55

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1.5x scale

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.