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Finding the Fourth Proportional to 497,457.94, 686,602.76 and 316,134.51

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Solution

The fourth proportional to 497,457.94, 686,602.76 and 316,134.51 is: 436,336.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,457.94 : 686,602.76 = 316,134.51 : x
  2. Step 2: Convert to fraction form
    497,457.94/686,602.76 = 316,134.51/x
  3. Step 3: Cross multiply
    497,457.94x = 686,602.76 × 316,134.51
  4. Step 4: Simplify right side
    497,457.94x = 217,058,825,516.58
  5. Step 5: Solve for x
    x = 217,058,825,516.58/497,457.94
  6. Step 6: Final answer
    x = 436,336.04

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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.