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Finding the Fourth Proportional to 260,022.40, 390,206.40 and 147,702.40

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Solution

The fourth proportional to 260,022.40, 390,206.40 and 147,702.40 is: 221,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,022.40 : 390,206.40 = 147,702.40 : x
  2. Step 2: Convert to fraction form
    260,022.40/390,206.40 = 147,702.40/x
  3. Step 3: Cross multiply
    260,022.40x = 390,206.40 × 147,702.40
  4. Step 4: Simplify right side
    260,022.40x = 57,634,421,775.36
  5. Step 5: Solve for x
    x = 57,634,421,775.36/260,022.40
  6. Step 6: Final answer
    x = 221,651.76

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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.