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Finding the Fourth Proportional to 288,987.95, 433,374.40 and 99,395.10

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Solution

The fourth proportional to 288,987.95, 433,374.40 and 99,395.10 is: 149,055.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,987.95 : 433,374.40 = 99,395.10 : x
  2. Step 2: Convert to fraction form
    288,987.95/433,374.40 = 99,395.10/x
  3. Step 3: Cross multiply
    288,987.95x = 433,374.40 × 99,395.10
  4. Step 4: Simplify right side
    288,987.95x = 43,075,291,949.68
  5. Step 5: Solve for x
    x = 43,075,291,949.68/288,987.95
  6. Step 6: Final answer
    x = 149,055.67

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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.