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Finding the Fourth Proportional to 614,012.94, 847,316.43 and 342,066.78

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Solution

The fourth proportional to 614,012.94, 847,316.43 and 342,066.78 is: 472,040.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,012.94 : 847,316.43 = 342,066.78 : x
  2. Step 2: Convert to fraction form
    614,012.94/847,316.43 = 342,066.78/x
  3. Step 3: Cross multiply
    614,012.94x = 847,316.43 × 342,066.78
  4. Step 4: Simplify right side
    614,012.94x = 289,838,802,851.20
  5. Step 5: Solve for x
    x = 289,838,802,851.20/614,012.94
  6. Step 6: Final answer
    x = 472,040.22

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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.