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Finding the Fourth Proportional to 313,419.08, 469,953.65 and 103,039.40

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Solution

The fourth proportional to 313,419.08, 469,953.65 and 103,039.40 is: 154,501.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,419.08 : 469,953.65 = 103,039.40 : x
  2. Step 2: Convert to fraction form
    313,419.08/469,953.65 = 103,039.40/x
  3. Step 3: Cross multiply
    313,419.08x = 469,953.65 × 103,039.40
  4. Step 4: Simplify right side
    313,419.08x = 48,423,740,031.64
  5. Step 5: Solve for x
    x = 48,423,740,031.64/313,419.08
  6. Step 6: Final answer
    x = 154,501.57

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1.5x scale

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.