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Finding the Fourth Proportional to 497,463.94, 686,611.04 and 316,140.51

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Solution

The fourth proportional to 497,463.94, 686,611.04 and 316,140.51 is: 436,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,463.94 : 686,611.04 = 316,140.51 : x
  2. Step 2: Convert to fraction form
    497,463.94/686,611.04 = 316,140.51/x
  3. Step 3: Cross multiply
    497,463.94x = 686,611.04 × 316,140.51
  4. Step 4: Simplify right side
    497,463.94x = 217,065,564,357.23
  5. Step 5: Solve for x
    x = 217,065,564,357.23/497,463.94
  6. Step 6: Final answer
    x = 436,344.32

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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.