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Finding the Fourth Proportional to 288,421.20, 432,631.80 and 170,323.20

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Solution

The fourth proportional to 288,421.20, 432,631.80 and 170,323.20 is: 255,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,421.20 : 432,631.80 = 170,323.20 : x
  2. Step 2: Convert to fraction form
    288,421.20/432,631.80 = 170,323.20/x
  3. Step 3: Cross multiply
    288,421.20x = 432,631.80 × 170,323.20
  4. Step 4: Simplify right side
    288,421.20x = 73,687,232,597.76
  5. Step 5: Solve for x
    x = 73,687,232,597.76/288,421.20
  6. Step 6: Final answer
    x = 255,484.80

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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.