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Finding the Fourth Proportional to 583,281.50, 804,928.47 and 315,009.50

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Solution

The fourth proportional to 583,281.50, 804,928.47 and 315,009.50 is: 434,713.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,281.50 : 804,928.47 = 315,009.50 : x
  2. Step 2: Convert to fraction form
    583,281.50/804,928.47 = 315,009.50/x
  3. Step 3: Cross multiply
    583,281.50x = 804,928.47 × 315,009.50
  4. Step 4: Simplify right side
    583,281.50x = 253,560,114,870.47
  5. Step 5: Solve for x
    x = 253,560,114,870.47/583,281.50
  6. Step 6: Final answer
    x = 434,713.11

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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.