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Finding the Fourth Proportional to 307,535.80, 461,303.70 and 257,769.40

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Solution

The fourth proportional to 307,535.80, 461,303.70 and 257,769.40 is: 386,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,535.80 : 461,303.70 = 257,769.40 : x
  2. Step 2: Convert to fraction form
    307,535.80/461,303.70 = 257,769.40/x
  3. Step 3: Cross multiply
    307,535.80x = 461,303.70 × 257,769.40
  4. Step 4: Simplify right side
    307,535.80x = 118,909,977,966.78
  5. Step 5: Solve for x
    x = 118,909,977,966.78/307,535.80
  6. Step 6: Final answer
    x = 386,654.10

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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.