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Finding the Fourth Proportional to 497,661.02, 686,555.58 and 316,275.74

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Solution

The fourth proportional to 497,661.02, 686,555.58 and 316,275.74 is: 436,322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,661.02 : 686,555.58 = 316,275.74 : x
  2. Step 2: Convert to fraction form
    497,661.02/686,555.58 = 316,275.74/x
  3. Step 3: Cross multiply
    497,661.02x = 686,555.58 × 316,275.74
  4. Step 4: Simplify right side
    497,661.02x = 217,140,874,115.63
  5. Step 5: Solve for x
    x = 217,140,874,115.63/497,661.02
  6. Step 6: Final answer
    x = 436,322.85

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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.