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Finding the Fourth Proportional to 583,418, 805,117.56 and 315,146

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Solution

The fourth proportional to 583,418, 805,117.56 and 315,146 is: 434,901.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,418 : 805,117.56 = 315,146 : x
  2. Step 2: Convert to fraction form
    583,418/805,117.56 = 315,146/x
  3. Step 3: Cross multiply
    583,418x = 805,117.56 × 315,146
  4. Step 4: Simplify right side
    583,418x = 253,729,578,563.76
  5. Step 5: Solve for x
    x = 253,729,578,563.76/583,418
  6. Step 6: Final answer
    x = 434,901.87

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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.