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Finding the Fourth Proportional to 648,384.38, 894,784.54 and 357,994.98

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Solution

The fourth proportional to 648,384.38, 894,784.54 and 357,994.98 is: 494,040.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,384.38 : 894,784.54 = 357,994.98 : x
  2. Step 2: Convert to fraction form
    648,384.38/894,784.54 = 357,994.98/x
  3. Step 3: Cross multiply
    648,384.38x = 894,784.54 × 357,994.98
  4. Step 4: Simplify right side
    648,384.38x = 320,328,373,501.61
  5. Step 5: Solve for x
    x = 320,328,373,501.61/648,384.38
  6. Step 6: Final answer
    x = 494,040.86

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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.