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Finding the Fourth Proportional to 583,398, 805,089.56 and 315,126

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Solution

The fourth proportional to 583,398, 805,089.56 and 315,126 is: 434,874.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,398 : 805,089.56 = 315,126 : x
  2. Step 2: Convert to fraction form
    583,398/805,089.56 = 315,126/x
  3. Step 3: Cross multiply
    583,398x = 805,089.56 × 315,126
  4. Step 4: Simplify right side
    583,398x = 253,704,652,684.56
  5. Step 5: Solve for x
    x = 253,704,652,684.56/583,398
  6. Step 6: Final answer
    x = 434,874.05

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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.