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Finding the Fourth Proportional to 280,437.48, 420,656.22 and 70,075.44

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Solution

The fourth proportional to 280,437.48, 420,656.22 and 70,075.44 is: 105,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,437.48 : 420,656.22 = 70,075.44 : x
  2. Step 2: Convert to fraction form
    280,437.48/420,656.22 = 70,075.44/x
  3. Step 3: Cross multiply
    280,437.48x = 420,656.22 × 70,075.44
  4. Step 4: Simplify right side
    280,437.48x = 29,477,669,705.24
  5. Step 5: Solve for x
    x = 29,477,669,705.24/280,437.48
  6. Step 6: Final answer
    x = 105,113.16

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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.