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Finding the Fourth Proportional to 531,541.72, 733,705.32 and 316,749.16

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Solution

The fourth proportional to 531,541.72, 733,705.32 and 316,749.16 is: 437,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,541.72 : 733,705.32 = 316,749.16 : x
  2. Step 2: Convert to fraction form
    531,541.72/733,705.32 = 316,749.16/x
  3. Step 3: Cross multiply
    531,541.72x = 733,705.32 × 316,749.16
  4. Step 4: Simplify right side
    531,541.72x = 232,400,543,797.53
  5. Step 5: Solve for x
    x = 232,400,543,797.53/531,541.72
  6. Step 6: Final answer
    x = 437,219.76

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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.