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Finding the Fourth Proportional to 708,166.46, 977,239.16 and 402,241.89

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Solution

The fourth proportional to 708,166.46, 977,239.16 and 402,241.89 is: 555,076.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,166.46 : 977,239.16 = 402,241.89 : x
  2. Step 2: Convert to fraction form
    708,166.46/977,239.16 = 402,241.89/x
  3. Step 3: Cross multiply
    708,166.46x = 977,239.16 × 402,241.89
  4. Step 4: Simplify right side
    708,166.46x = 393,086,526,700.41
  5. Step 5: Solve for x
    x = 393,086,526,700.41/708,166.46
  6. Step 6: Final answer
    x = 555,076.46

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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.