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Finding the Fourth Proportional to 288,490.95, 432,692.64 and 101,458.71

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Solution

The fourth proportional to 288,490.95, 432,692.64 and 101,458.71 is: 152,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,490.95 : 432,692.64 = 101,458.71 : x
  2. Step 2: Convert to fraction form
    288,490.95/432,692.64 = 101,458.71/x
  3. Step 3: Cross multiply
    288,490.95x = 432,692.64 × 101,458.71
  4. Step 4: Simplify right side
    288,490.95x = 43,900,437,080.89
  5. Step 5: Solve for x
    x = 43,900,437,080.89/288,490.95
  6. Step 6: Final answer
    x = 152,172.67

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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.