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Finding the Fourth Proportional to 583,457, 805,171.38 and 315,185

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Solution

The fourth proportional to 583,457, 805,171.38 and 315,185 is: 434,955.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,457 : 805,171.38 = 315,185 : x
  2. Step 2: Convert to fraction form
    583,457/805,171.38 = 315,185/x
  3. Step 3: Cross multiply
    583,457x = 805,171.38 × 315,185
  4. Step 4: Simplify right side
    583,457x = 253,777,941,405.30
  5. Step 5: Solve for x
    x = 253,777,941,405.30/583,457
  6. Step 6: Final answer
    x = 434,955.69

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1.5x scale

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.