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Finding the Fourth Proportional to 613,985.56, 847,300.60 and 342,054.14

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Solution

The fourth proportional to 613,985.56, 847,300.60 and 342,054.14 is: 472,035.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,985.56 : 847,300.60 = 342,054.14 : x
  2. Step 2: Convert to fraction form
    613,985.56/847,300.60 = 342,054.14/x
  3. Step 3: Cross multiply
    613,985.56x = 847,300.60 × 342,054.14
  4. Step 4: Simplify right side
    613,985.56x = 289,822,678,054.48
  5. Step 5: Solve for x
    x = 289,822,678,054.48/613,985.56
  6. Step 6: Final answer
    x = 472,035.01

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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.