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Finding the Fourth Proportional to 288,455.29, 432,683.26 and 75,223.01

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Solution

The fourth proportional to 288,455.29, 432,683.26 and 75,223.01 is: 112,834.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,455.29 : 432,683.26 = 75,223.01 : x
  2. Step 2: Convert to fraction form
    288,455.29/432,683.26 = 75,223.01/x
  3. Step 3: Cross multiply
    288,455.29x = 432,683.26 × 75,223.01
  4. Step 4: Simplify right side
    288,455.29x = 32,547,738,087.46
  5. Step 5: Solve for x
    x = 32,547,738,087.46/288,455.29
  6. Step 6: Final answer
    x = 112,834.60

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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.