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Finding the Fourth Proportional to 541,547.94, 747,414.84 and 312,060.56

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Solution

The fourth proportional to 541,547.94, 747,414.84 and 312,060.56 is: 430,688.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,547.94 : 747,414.84 = 312,060.56 : x
  2. Step 2: Convert to fraction form
    541,547.94/747,414.84 = 312,060.56/x
  3. Step 3: Cross multiply
    541,547.94x = 747,414.84 × 312,060.56
  4. Step 4: Simplify right side
    541,547.94x = 233,238,693,522.71
  5. Step 5: Solve for x
    x = 233,238,693,522.71/541,547.94
  6. Step 6: Final answer
    x = 430,688.91

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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.