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Finding the Fourth Proportional to 673,866.47, 929,825.95 and 398,185.96

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Solution

The fourth proportional to 673,866.47, 929,825.95 and 398,185.96 is: 549,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,866.47 : 929,825.95 = 398,185.96 : x
  2. Step 2: Convert to fraction form
    673,866.47/929,825.95 = 398,185.96/x
  3. Step 3: Cross multiply
    673,866.47x = 929,825.95 × 398,185.96
  4. Step 4: Simplify right side
    673,866.47x = 370,243,637,703.66
  5. Step 5: Solve for x
    x = 370,243,637,703.66/673,866.47
  6. Step 6: Final answer
    x = 549,431.75

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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.