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Finding the Fourth Proportional to 614,400.48, 847,876.50 and 342,485.64

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Solution

The fourth proportional to 614,400.48, 847,876.50 and 342,485.64 is: 472,632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,400.48 : 847,876.50 = 342,485.64 : x
  2. Step 2: Convert to fraction form
    614,400.48/847,876.50 = 342,485.64/x
  3. Step 3: Cross multiply
    614,400.48x = 847,876.50 × 342,485.64
  4. Step 4: Simplify right side
    614,400.48x = 290,385,525,743.46
  5. Step 5: Solve for x
    x = 290,385,525,743.46/614,400.48
  6. Step 6: Final answer
    x = 472,632.32

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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.