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Finding the Fourth Proportional to 706,656.96, 974,864.97 and 420,014.16

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Solution

The fourth proportional to 706,656.96, 974,864.97 and 420,014.16 is: 579,428.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,656.96 : 974,864.97 = 420,014.16 : x
  2. Step 2: Convert to fraction form
    706,656.96/974,864.97 = 420,014.16/x
  3. Step 3: Cross multiply
    706,656.96x = 974,864.97 × 420,014.16
  4. Step 4: Simplify right side
    706,656.96x = 409,457,091,487.98
  5. Step 5: Solve for x
    x = 409,457,091,487.98/706,656.96
  6. Step 6: Final answer
    x = 579,428.37

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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.