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Finding the Fourth Proportional to 307,340.80, 461,011.20 and 288,678.40

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Solution

The fourth proportional to 307,340.80, 461,011.20 and 288,678.40 is: 433,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,340.80 : 461,011.20 = 288,678.40 : x
  2. Step 2: Convert to fraction form
    307,340.80/461,011.20 = 288,678.40/x
  3. Step 3: Cross multiply
    307,340.80x = 461,011.20 × 288,678.40
  4. Step 4: Simplify right side
    307,340.80x = 133,083,975,598.08
  5. Step 5: Solve for x
    x = 133,083,975,598.08/307,340.80
  6. Step 6: Final answer
    x = 433,017.60

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1.5x scale

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.