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Finding the Fourth Proportional to 280,437.16, 420,656.82 and 70,075.30

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Solution

The fourth proportional to 280,437.16, 420,656.82 and 70,075.30 is: 105,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,437.16 : 420,656.82 = 70,075.30 : x
  2. Step 2: Convert to fraction form
    280,437.16/420,656.82 = 70,075.30/x
  3. Step 3: Cross multiply
    280,437.16x = 420,656.82 × 70,075.30
  4. Step 4: Simplify right side
    280,437.16x = 29,477,652,858.55
  5. Step 5: Solve for x
    x = 29,477,652,858.55/280,437.16
  6. Step 6: Final answer
    x = 105,113.22

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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.