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Finding the Fourth Proportional to 497,547, 686,615.34 and 271,193.40

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Solution

The fourth proportional to 497,547, 686,615.34 and 271,193.40 is: 374,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,547 : 686,615.34 = 271,193.40 : x
  2. Step 2: Convert to fraction form
    497,547/686,615.34 = 271,193.40/x
  3. Step 3: Cross multiply
    497,547x = 686,615.34 × 271,193.40
  4. Step 4: Simplify right side
    497,547x = 186,205,548,546.76
  5. Step 5: Solve for x
    x = 186,205,548,546.76/497,547
  6. Step 6: Final answer
    x = 374,247.15

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1.5x scale

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.