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Finding the Fourth Proportional to 497,532.39, 686,547.27 and 290,849.10

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Solution

The fourth proportional to 497,532.39, 686,547.27 and 290,849.10 is: 401,344.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,532.39 : 686,547.27 = 290,849.10 : x
  2. Step 2: Convert to fraction form
    497,532.39/686,547.27 = 290,849.10/x
  3. Step 3: Cross multiply
    497,532.39x = 686,547.27 × 290,849.10
  4. Step 4: Simplify right side
    497,532.39x = 199,681,652,416.34
  5. Step 5: Solve for x
    x = 199,681,652,416.34/497,532.39
  6. Step 6: Final answer
    x = 401,344.03

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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.