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Finding the Fourth Proportional to 772,241, 1,064,511.25 and 542,152.80

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Solution

The fourth proportional to 772,241, 1,064,511.25 and 542,152.80 is: 747,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,241 : 1,064,511.25 = 542,152.80 : x
  2. Step 2: Convert to fraction form
    772,241/1,064,511.25 = 542,152.80/x
  3. Step 3: Cross multiply
    772,241x = 1,064,511.25 × 542,152.80
  4. Step 4: Simplify right side
    772,241x = 577,127,754,819
  5. Step 5: Solve for x
    x = 577,127,754,819/772,241
  6. Step 6: Final answer
    x = 747,341.51

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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.