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Finding the Fourth Proportional to 665,746.98, 918,901.71 and 410,951.76

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Solution

The fourth proportional to 665,746.98, 918,901.71 and 410,951.76 is: 567,218.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,746.98 : 918,901.71 = 410,951.76 : x
  2. Step 2: Convert to fraction form
    665,746.98/918,901.71 = 410,951.76/x
  3. Step 3: Cross multiply
    665,746.98x = 918,901.71 × 410,951.76
  4. Step 4: Simplify right side
    665,746.98x = 377,624,274,991.51
  5. Step 5: Solve for x
    x = 377,624,274,991.51/665,746.98
  6. Step 6: Final answer
    x = 567,218.91

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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.