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Finding the Fourth Proportional to 648,456.70, 972,454.65 and 293,640.70

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Solution

The fourth proportional to 648,456.70, 972,454.65 and 293,640.70 is: 440,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,456.70 : 972,454.65 = 293,640.70 : x
  2. Step 2: Convert to fraction form
    648,456.70/972,454.65 = 293,640.70/x
  3. Step 3: Cross multiply
    648,456.70x = 972,454.65 × 293,640.70
  4. Step 4: Simplify right side
    648,456.70x = 285,552,264,144.26
  5. Step 5: Solve for x
    x = 285,552,264,144.26/648,456.70
  6. Step 6: Final answer
    x = 440,356.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.