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Finding the Fourth Proportional to 288,259.24, 432,411.90 and 101,312.68

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Solution

The fourth proportional to 288,259.24, 432,411.90 and 101,312.68 is: 151,977.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,259.24 : 432,411.90 = 101,312.68 : x
  2. Step 2: Convert to fraction form
    288,259.24/432,411.90 = 101,312.68/x
  3. Step 3: Cross multiply
    288,259.24x = 432,411.90 × 101,312.68
  4. Step 4: Simplify right side
    288,259.24x = 43,808,808,452.89
  5. Step 5: Solve for x
    x = 43,808,808,452.89/288,259.24
  6. Step 6: Final answer
    x = 151,977.12

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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.