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Finding the Fourth Proportional to 477,870.12, 716,403.42 and 319,615.56

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Solution

The fourth proportional to 477,870.12, 716,403.42 and 319,615.56 is: 479,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,870.12 : 716,403.42 = 319,615.56 : x
  2. Step 2: Convert to fraction form
    477,870.12/716,403.42 = 319,615.56/x
  3. Step 3: Cross multiply
    477,870.12x = 716,403.42 × 319,615.56
  4. Step 4: Simplify right side
    477,870.12x = 228,973,680,269.22
  5. Step 5: Solve for x
    x = 228,973,680,269.22/477,870.12
  6. Step 6: Final answer
    x = 479,154.63

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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.