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Finding the Fourth Proportional to 279,889,751.70, 420,153,492.15 and 164,939,063.40

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Solution

The fourth proportional to 279,889,751.70, 420,153,492.15 and 164,939,063.40 is: 247,596,502.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,889,751.70 : 420,153,492.15 = 164,939,063.40 : x
  2. Step 2: Convert to fraction form
    279,889,751.70/420,153,492.15 = 164,939,063.40/x
  3. Step 3: Cross multiply
    279,889,751.70x = 420,153,492.15 × 164,939,063.40
  4. Step 4: Simplify right side
    279,889,751.70x = 69,299,723,479,460,248
  5. Step 5: Solve for x
    x = 69,299,723,479,460,248/279,889,751.70
  6. Step 6: Final answer
    x = 247,596,502.05

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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.