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Finding the Fourth Proportional to 288,287.06, 432,432.13 and 189,075.51

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Solution

The fourth proportional to 288,287.06, 432,432.13 and 189,075.51 is: 283,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,287.06 : 432,432.13 = 189,075.51 : x
  2. Step 2: Convert to fraction form
    288,287.06/432,432.13 = 189,075.51/x
  3. Step 3: Cross multiply
    288,287.06x = 432,432.13 × 189,075.51
  4. Step 4: Simplify right side
    288,287.06x = 81,762,327,023.58
  5. Step 5: Solve for x
    x = 81,762,327,023.58/288,287.06
  6. Step 6: Final answer
    x = 283,614.28

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1.5x scale

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.