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Finding the Fourth Proportional to 288,783.02, 432,813.38 and 138,983.24

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Solution

The fourth proportional to 288,783.02, 432,813.38 and 138,983.24 is: 208,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,783.02 : 432,813.38 = 138,983.24 : x
  2. Step 2: Convert to fraction form
    288,783.02/432,813.38 = 138,983.24/x
  3. Step 3: Cross multiply
    288,783.02x = 432,813.38 × 138,983.24
  4. Step 4: Simplify right side
    288,783.02x = 60,153,806,254.87
  5. Step 5: Solve for x
    x = 60,153,806,254.87/288,783.02
  6. Step 6: Final answer
    x = 208,301.05

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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.