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Finding the Fourth Proportional to 354,464.20, 530,918.70 and 307,808.20

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Solution

The fourth proportional to 354,464.20, 530,918.70 and 307,808.20 is: 461,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,464.20 : 530,918.70 = 307,808.20 : x
  2. Step 2: Convert to fraction form
    354,464.20/530,918.70 = 307,808.20/x
  3. Step 3: Cross multiply
    354,464.20x = 530,918.70 × 307,808.20
  4. Step 4: Simplify right side
    354,464.20x = 163,421,129,393.34
  5. Step 5: Solve for x
    x = 163,421,129,393.34/354,464.20
  6. Step 6: Final answer
    x = 461,037.05

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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.