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Finding the Fourth Proportional to 583,502, 805,232.76 and 315,230

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Solution

The fourth proportional to 583,502, 805,232.76 and 315,230 is: 435,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,502 : 805,232.76 = 315,230 : x
  2. Step 2: Convert to fraction form
    583,502/805,232.76 = 315,230/x
  3. Step 3: Cross multiply
    583,502x = 805,232.76 × 315,230
  4. Step 4: Simplify right side
    583,502x = 253,833,522,934.80
  5. Step 5: Solve for x
    x = 253,833,522,934.80/583,502
  6. Step 6: Final answer
    x = 435,017.40

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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.