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Finding the Fourth Proportional to 805,402, 1,205,474.28 and 592,113.40

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Solution

The fourth proportional to 805,402, 1,205,474.28 and 592,113.40 is: 886,237.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,402 : 1,205,474.28 = 592,113.40 : x
  2. Step 2: Convert to fraction form
    805,402/1,205,474.28 = 592,113.40/x
  3. Step 3: Cross multiply
    805,402x = 1,205,474.28 × 592,113.40
  4. Step 4: Simplify right side
    805,402x = 713,777,474,543.35
  5. Step 5: Solve for x
    x = 713,777,474,543.35/805,402
  6. Step 6: Final answer
    x = 886,237.52

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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.