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Finding the Fourth Proportional to 654,564, 903,292.68 and 368,078

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Solution

The fourth proportional to 654,564, 903,292.68 and 368,078 is: 507,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,564 : 903,292.68 = 368,078 : x
  2. Step 2: Convert to fraction form
    654,564/903,292.68 = 368,078/x
  3. Step 3: Cross multiply
    654,564x = 903,292.68 × 368,078
  4. Step 4: Simplify right side
    654,564x = 332,482,163,069.04
  5. Step 5: Solve for x
    x = 332,482,163,069.04/654,564
  6. Step 6: Final answer
    x = 507,944.47

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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.