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Finding the Fourth Proportional to 288,681.60, 433,292.40 and 146,628.48

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Solution

The fourth proportional to 288,681.60, 433,292.40 and 146,628.48 is: 220,079.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,681.60 : 433,292.40 = 146,628.48 : x
  2. Step 2: Convert to fraction form
    288,681.60/433,292.40 = 146,628.48/x
  3. Step 3: Cross multiply
    288,681.60x = 433,292.40 × 146,628.48
  4. Step 4: Simplify right side
    288,681.60x = 63,533,006,007.55
  5. Step 5: Solve for x
    x = 63,533,006,007.55/288,681.60
  6. Step 6: Final answer
    x = 220,079.86

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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.