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Finding the Fourth Proportional to 353,186.40, 530,816.40 and 307,567.20

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Solution

The fourth proportional to 353,186.40, 530,816.40 and 307,567.20 is: 462,253.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,186.40 : 530,816.40 = 307,567.20 : x
  2. Step 2: Convert to fraction form
    353,186.40/530,816.40 = 307,567.20/x
  3. Step 3: Cross multiply
    353,186.40x = 530,816.40 × 307,567.20
  4. Step 4: Simplify right side
    353,186.40x = 163,261,713,862.08
  5. Step 5: Solve for x
    x = 163,261,713,862.08/353,186.40
  6. Step 6: Final answer
    x = 462,253.68

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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.