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Finding the Fourth Proportional to 708,468.40, 977,670.84 and 386,166.16

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Solution

The fourth proportional to 708,468.40, 977,670.84 and 386,166.16 is: 532,900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,468.40 : 977,670.84 = 386,166.16 : x
  2. Step 2: Convert to fraction form
    708,468.40/977,670.84 = 386,166.16/x
  3. Step 3: Cross multiply
    708,468.40x = 977,670.84 × 386,166.16
  4. Step 4: Simplify right side
    708,468.40x = 377,543,394,026.77
  5. Step 5: Solve for x
    x = 377,543,394,026.77/708,468.40
  6. Step 6: Final answer
    x = 532,900.82

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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.