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Finding the Fourth Proportional to 689,762.84, 951,955.60 and 417,822.76

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Solution

The fourth proportional to 689,762.84, 951,955.60 and 417,822.76 is: 576,645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,762.84 : 951,955.60 = 417,822.76 : x
  2. Step 2: Convert to fraction form
    689,762.84/951,955.60 = 417,822.76/x
  3. Step 3: Cross multiply
    689,762.84x = 951,955.60 × 417,822.76
  4. Step 4: Simplify right side
    689,762.84x = 397,748,716,189.46
  5. Step 5: Solve for x
    x = 397,748,716,189.46/689,762.84
  6. Step 6: Final answer
    x = 576,645.61

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1.5x scale

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.