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Finding the Fourth Proportional to 288,641.88, 432,808.11 and 144,525.06

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Solution

The fourth proportional to 288,641.88, 432,808.11 and 144,525.06 is: 216,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,641.88 : 432,808.11 = 144,525.06 : x
  2. Step 2: Convert to fraction form
    288,641.88/432,808.11 = 144,525.06/x
  3. Step 3: Cross multiply
    288,641.88x = 432,808.11 × 144,525.06
  4. Step 4: Simplify right side
    288,641.88x = 62,551,618,066.24
  5. Step 5: Solve for x
    x = 62,551,618,066.24/288,641.88
  6. Step 6: Final answer
    x = 216,710.13

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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.