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Finding the Fourth Proportional to 288,271.45, 432,032.10 and 117,293.90

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Solution

The fourth proportional to 288,271.45, 432,032.10 and 117,293.90 is: 175,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,271.45 : 432,032.10 = 117,293.90 : x
  2. Step 2: Convert to fraction form
    288,271.45/432,032.10 = 117,293.90/x
  3. Step 3: Cross multiply
    288,271.45x = 432,032.10 × 117,293.90
  4. Step 4: Simplify right side
    288,271.45x = 50,674,731,454.12
  5. Step 5: Solve for x
    x = 50,674,731,454.12/288,271.45
  6. Step 6: Final answer
    x = 175,788.24

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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.