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Finding the Fourth Proportional to 493,674.40, 680,337.12 and 357,477.76

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Solution

The fourth proportional to 493,674.40, 680,337.12 and 357,477.76 is: 492,643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,674.40 : 680,337.12 = 357,477.76 : x
  2. Step 2: Convert to fraction form
    493,674.40/680,337.12 = 357,477.76/x
  3. Step 3: Cross multiply
    493,674.40x = 680,337.12 × 357,477.76
  4. Step 4: Simplify right side
    493,674.40x = 243,205,389,702.45
  5. Step 5: Solve for x
    x = 243,205,389,702.45/493,674.40
  6. Step 6: Final answer
    x = 492,643.31

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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.