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Finding the Fourth Proportional to 708,970.56, 978,581.70 and 403,211.76

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Solution

The fourth proportional to 708,970.56, 978,581.70 and 403,211.76 is: 556,547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,970.56 : 978,581.70 = 403,211.76 : x
  2. Step 2: Convert to fraction form
    708,970.56/978,581.70 = 403,211.76/x
  3. Step 3: Cross multiply
    708,970.56x = 978,581.70 × 403,211.76
  4. Step 4: Simplify right side
    708,970.56x = 394,575,649,560.79
  5. Step 5: Solve for x
    x = 394,575,649,560.79/708,970.56
  6. Step 6: Final answer
    x = 556,547.30

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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.