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Finding the Fourth Proportional to 314,921.70, 472,382.55 and 310,499.10

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Solution

The fourth proportional to 314,921.70, 472,382.55 and 310,499.10 is: 465,748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,921.70 : 472,382.55 = 310,499.10 : x
  2. Step 2: Convert to fraction form
    314,921.70/472,382.55 = 310,499.10/x
  3. Step 3: Cross multiply
    314,921.70x = 472,382.55 × 310,499.10
  4. Step 4: Simplify right side
    314,921.70x = 146,674,356,630.71
  5. Step 5: Solve for x
    x = 146,674,356,630.71/314,921.70
  6. Step 6: Final answer
    x = 465,748.65

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Similar ratio
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1.5x scale

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.