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Finding the Fourth Proportional to 257,030.40, 385,430.40 and 99,206.40

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Solution

The fourth proportional to 257,030.40, 385,430.40 and 99,206.40 is: 148,765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,030.40 : 385,430.40 = 99,206.40 : x
  2. Step 2: Convert to fraction form
    257,030.40/385,430.40 = 99,206.40/x
  3. Step 3: Cross multiply
    257,030.40x = 385,430.40 × 99,206.40
  4. Step 4: Simplify right side
    257,030.40x = 38,237,162,434.56
  5. Step 5: Solve for x
    x = 38,237,162,434.56/257,030.40
  6. Step 6: Final answer
    x = 148,765.14

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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.