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Finding the Fourth Proportional to 566,457.84, 781,956.72 and 405,032.40

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Solution

The fourth proportional to 566,457.84, 781,956.72 and 405,032.40 is: 559,119.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,457.84 : 781,956.72 = 405,032.40 : x
  2. Step 2: Convert to fraction form
    566,457.84/781,956.72 = 405,032.40/x
  3. Step 3: Cross multiply
    566,457.84x = 781,956.72 × 405,032.40
  4. Step 4: Simplify right side
    566,457.84x = 316,717,806,997.73
  5. Step 5: Solve for x
    x = 316,717,806,997.73/566,457.84
  6. Step 6: Final answer
    x = 559,119.82

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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.