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Finding the Fourth Proportional to 977,418, 1,465,666.89 and 378,659.52

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Solution

The fourth proportional to 977,418, 1,465,666.89 and 378,659.52 is: 567,811.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,418 : 1,465,666.89 = 378,659.52 : x
  2. Step 2: Convert to fraction form
    977,418/1,465,666.89 = 378,659.52/x
  3. Step 3: Cross multiply
    977,418x = 1,465,666.89 × 378,659.52
  4. Step 4: Simplify right side
    977,418x = 554,988,721,047.29
  5. Step 5: Solve for x
    x = 554,988,721,047.29/977,418
  6. Step 6: Final answer
    x = 567,811.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.