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Finding the Fourth Proportional to 497,518.48, 686,673.48 and 346,528

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Solution

The fourth proportional to 497,518.48, 686,673.48 and 346,528 is: 478,276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,518.48 : 686,673.48 = 346,528 : x
  2. Step 2: Convert to fraction form
    497,518.48/686,673.48 = 346,528/x
  3. Step 3: Cross multiply
    497,518.48x = 686,673.48 × 346,528
  4. Step 4: Simplify right side
    497,518.48x = 237,951,587,677.44
  5. Step 5: Solve for x
    x = 237,951,587,677.44/497,518.48
  6. Step 6: Final answer
    x = 478,276.88

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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.