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Finding the Fourth Proportional to 708,476.70, 977,708.10 and 386,186.86

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Solution

The fourth proportional to 708,476.70, 977,708.10 and 386,186.86 is: 532,943.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,476.70 : 977,708.10 = 386,186.86 : x
  2. Step 2: Convert to fraction form
    708,476.70/977,708.10 = 386,186.86/x
  3. Step 3: Cross multiply
    708,476.70x = 977,708.10 × 386,186.86
  4. Step 4: Simplify right side
    708,476.70x = 377,578,021,135.57
  5. Step 5: Solve for x
    x = 377,578,021,135.57/708,476.70
  6. Step 6: Final answer
    x = 532,943.46

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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.