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Finding the Fourth Proportional to 304,807.68, 420,244.72 and 209,148.32

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Solution

The fourth proportional to 304,807.68, 420,244.72 and 209,148.32 is: 288,357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,807.68 : 420,244.72 = 209,148.32 : x
  2. Step 2: Convert to fraction form
    304,807.68/420,244.72 = 209,148.32/x
  3. Step 3: Cross multiply
    304,807.68x = 420,244.72 × 209,148.32
  4. Step 4: Simplify right side
    304,807.68x = 87,893,477,176.87
  5. Step 5: Solve for x
    x = 87,893,477,176.87/304,807.68
  6. Step 6: Final answer
    x = 288,357.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.