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Finding the Fourth Proportional to 614,019.60, 847,289.16 and 342,059.76

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Solution

The fourth proportional to 614,019.60, 847,289.16 and 342,059.76 is: 472,010.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,019.60 : 847,289.16 = 342,059.76 : x
  2. Step 2: Convert to fraction form
    614,019.60/847,289.16 = 342,059.76/x
  3. Step 3: Cross multiply
    614,019.60x = 847,289.16 × 342,059.76
  4. Step 4: Simplify right side
    614,019.60x = 289,823,526,720.20
  5. Step 5: Solve for x
    x = 289,823,526,720.20/614,019.60
  6. Step 6: Final answer
    x = 472,010.22

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1.5x scale

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.