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Finding the Fourth Proportional to 665,739.20, 918,461.94 and 423,978.50

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Solution

The fourth proportional to 665,739.20, 918,461.94 and 423,978.50 is: 584,925.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,739.20 : 918,461.94 = 423,978.50 : x
  2. Step 2: Convert to fraction form
    665,739.20/918,461.94 = 423,978.50/x
  3. Step 3: Cross multiply
    665,739.20x = 918,461.94 × 423,978.50
  4. Step 4: Simplify right side
    665,739.20x = 389,408,116,334.53
  5. Step 5: Solve for x
    x = 389,408,116,334.53/665,739.20
  6. Step 6: Final answer
    x = 584,925.92

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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.