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Finding the Fourth Proportional to 583,012.50, 804,128.98 and 386,423.44

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Solution

The fourth proportional to 583,012.50, 804,128.98 and 386,423.44 is: 532,980.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,012.50 : 804,128.98 = 386,423.44 : x
  2. Step 2: Convert to fraction form
    583,012.50/804,128.98 = 386,423.44/x
  3. Step 3: Cross multiply
    583,012.50x = 804,128.98 × 386,423.44
  4. Step 4: Simplify right side
    583,012.50x = 310,734,286,655.29
  5. Step 5: Solve for x
    x = 310,734,286,655.29/583,012.50
  6. Step 6: Final answer
    x = 532,980.49

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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.