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Finding the Fourth Proportional to 768,347, 1,060,457.65 and 458,269.47

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Solution

The fourth proportional to 768,347, 1,060,457.65 and 458,269.47 is: 632,494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,347 : 1,060,457.65 = 458,269.47 : x
  2. Step 2: Convert to fraction form
    768,347/1,060,457.65 = 458,269.47/x
  3. Step 3: Cross multiply
    768,347x = 1,060,457.65 × 458,269.47
  4. Step 4: Simplify right side
    768,347x = 485,975,365,222.95
  5. Step 5: Solve for x
    x = 485,975,365,222.95/768,347
  6. Step 6: Final answer
    x = 632,494.65

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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.