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Finding the Fourth Proportional to 460,026, 690,039 and 127,602

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Solution

The fourth proportional to 460,026, 690,039 and 127,602 is: 191,403

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,026 : 690,039 = 127,602 : x
  2. Step 2: Convert to fraction form
    460,026/690,039 = 127,602/x
  3. Step 3: Cross multiply
    460,026x = 690,039 × 127,602
  4. Step 4: Simplify right side
    460,026x = 88,050,356,478
  5. Step 5: Solve for x
    x = 88,050,356,478/460,026
  6. Step 6: Final answer
    x = 191,403

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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.