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Finding the Fourth Proportional to 286,509.43, 429,616.50 and 128,602.54

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Solution

The fourth proportional to 286,509.43, 429,616.50 and 128,602.54 is: 192,837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,509.43 : 429,616.50 = 128,602.54 : x
  2. Step 2: Convert to fraction form
    286,509.43/429,616.50 = 128,602.54/x
  3. Step 3: Cross multiply
    286,509.43x = 429,616.50 × 128,602.54
  4. Step 4: Simplify right side
    286,509.43x = 55,249,773,125.91
  5. Step 5: Solve for x
    x = 55,249,773,125.91/286,509.43
  6. Step 6: Final answer
    x = 192,837.54

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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.