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Finding the Fourth Proportional to 832,851, 1,249,774.05 and 765,091.66

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Solution

The fourth proportional to 832,851, 1,249,774.05 and 765,091.66 is: 1,148,094.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,851 : 1,249,774.05 = 765,091.66 : x
  2. Step 2: Convert to fraction form
    832,851/1,249,774.05 = 765,091.66/x
  3. Step 3: Cross multiply
    832,851x = 1,249,774.05 × 765,091.66
  4. Step 4: Simplify right side
    832,851x = 956,191,702,539.42
  5. Step 5: Solve for x
    x = 956,191,702,539.42/832,851
  6. Step 6: Final answer
    x = 1,148,094.56

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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.