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Finding the Fourth Proportional to 477,108.54, 658,145.54 and 302,358.74

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Solution

The fourth proportional to 477,108.54, 658,145.54 and 302,358.74 is: 417,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,108.54 : 658,145.54 = 302,358.74 : x
  2. Step 2: Convert to fraction form
    477,108.54/658,145.54 = 302,358.74/x
  3. Step 3: Cross multiply
    477,108.54x = 658,145.54 × 302,358.74
  4. Step 4: Simplify right side
    477,108.54x = 198,996,056,211.02
  5. Step 5: Solve for x
    x = 198,996,056,211.02/477,108.54
  6. Step 6: Final answer
    x = 417,087.60

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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.