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Finding the Fourth Proportional to 307,784.40, 424,765.80 and 180,530.16

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Solution

The fourth proportional to 307,784.40, 424,765.80 and 180,530.16 is: 249,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,784.40 : 424,765.80 = 180,530.16 : x
  2. Step 2: Convert to fraction form
    307,784.40/424,765.80 = 180,530.16/x
  3. Step 3: Cross multiply
    307,784.40x = 424,765.80 × 180,530.16
  4. Step 4: Simplify right side
    307,784.40x = 76,683,037,836.53
  5. Step 5: Solve for x
    x = 76,683,037,836.53/307,784.40
  6. Step 6: Final answer
    x = 249,145.30

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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.