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Finding the Fourth Proportional to 288,697.47, 432,898.32 and 153,838.41

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Solution

The fourth proportional to 288,697.47, 432,898.32 and 153,838.41 is: 230,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,697.47 : 432,898.32 = 153,838.41 : x
  2. Step 2: Convert to fraction form
    288,697.47/432,898.32 = 153,838.41/x
  3. Step 3: Cross multiply
    288,697.47x = 432,898.32 × 153,838.41
  4. Step 4: Simplify right side
    288,697.47x = 66,596,389,240.47
  5. Step 5: Solve for x
    x = 66,596,389,240.47/288,697.47
  6. Step 6: Final answer
    x = 230,678.81

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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.