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Finding the Fourth Proportional to 497,409.12, 686,435.72 and 293,509.71

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Solution

The fourth proportional to 497,409.12, 686,435.72 and 293,509.71 is: 405,049.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,409.12 : 686,435.72 = 293,509.71 : x
  2. Step 2: Convert to fraction form
    497,409.12/686,435.72 = 293,509.71/x
  3. Step 3: Cross multiply
    497,409.12x = 686,435.72 × 293,509.71
  4. Step 4: Simplify right side
    497,409.12x = 201,475,547,643.29
  5. Step 5: Solve for x
    x = 201,475,547,643.29/497,409.12
  6. Step 6: Final answer
    x = 405,049.97

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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.