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Finding the Fourth Proportional to 314,647.20, 471,970.80 and 93,031.20

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Solution

The fourth proportional to 314,647.20, 471,970.80 and 93,031.20 is: 139,546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,647.20 : 471,970.80 = 93,031.20 : x
  2. Step 2: Convert to fraction form
    314,647.20/471,970.80 = 93,031.20/x
  3. Step 3: Cross multiply
    314,647.20x = 471,970.80 × 93,031.20
  4. Step 4: Simplify right side
    314,647.20x = 43,908,009,888.96
  5. Step 5: Solve for x
    x = 43,908,009,888.96/314,647.20
  6. Step 6: Final answer
    x = 139,546.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.