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Finding the Fourth Proportional to 706,435.74, 974,851.62 and 400,532.70

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Solution

The fourth proportional to 706,435.74, 974,851.62 and 400,532.70 is: 552,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,435.74 : 974,851.62 = 400,532.70 : x
  2. Step 2: Convert to fraction form
    706,435.74/974,851.62 = 400,532.70/x
  3. Step 3: Cross multiply
    706,435.74x = 974,851.62 × 400,532.70
  4. Step 4: Simplify right side
    706,435.74x = 390,459,951,457.97
  5. Step 5: Solve for x
    x = 390,459,951,457.97/706,435.74
  6. Step 6: Final answer
    x = 552,718.29

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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.