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Finding the Fourth Proportional to 9,708,340.80, 14,571,842.40 and 4,921,435.20

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Solution

The fourth proportional to 9,708,340.80, 14,571,842.40 and 4,921,435.20 is: 7,386,883.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708,340.80 : 14,571,842.40 = 4,921,435.20 : x
  2. Step 2: Convert to fraction form
    9,708,340.80/14,571,842.40 = 4,921,435.20/x
  3. Step 3: Cross multiply
    9,708,340.80x = 14,571,842.40 × 4,921,435.20
  4. Step 4: Simplify right side
    9,708,340.80x = 71,714,378,116,212.48
  5. Step 5: Solve for x
    x = 71,714,378,116,212.48/9,708,340.80
  6. Step 6: Final answer
    x = 7,386,883.05

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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.