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Finding the Fourth Proportional to 614,333.13, 847,783.67 and 342,418.30

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Solution

The fourth proportional to 614,333.13, 847,783.67 and 342,418.30 is: 472,539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,333.13 : 847,783.67 = 342,418.30 : x
  2. Step 2: Convert to fraction form
    614,333.13/847,783.67 = 342,418.30/x
  3. Step 3: Cross multiply
    614,333.13x = 847,783.67 × 342,418.30
  4. Step 4: Simplify right side
    614,333.13x = 290,296,642,733.31
  5. Step 5: Solve for x
    x = 290,296,642,733.31/614,333.13
  6. Step 6: Final answer
    x = 472,539.45

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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.