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Finding the Fourth Proportional to 514,980.17, 772,322.63 and 155,185.86

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Solution

The fourth proportional to 514,980.17, 772,322.63 and 155,185.86 is: 232,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,980.17 : 772,322.63 = 155,185.86 : x
  2. Step 2: Convert to fraction form
    514,980.17/772,322.63 = 155,185.86/x
  3. Step 3: Cross multiply
    514,980.17x = 772,322.63 × 155,185.86
  4. Step 4: Simplify right side
    514,980.17x = 119,853,550,758.08
  5. Step 5: Solve for x
    x = 119,853,550,758.08/514,980.17
  6. Step 6: Final answer
    x = 232,734.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.