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Finding the Fourth Proportional to 349,345, 524,017.50 and 86,689

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Solution

The fourth proportional to 349,345, 524,017.50 and 86,689 is: 130,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,345 : 524,017.50 = 86,689 : x
  2. Step 2: Convert to fraction form
    349,345/524,017.50 = 86,689/x
  3. Step 3: Cross multiply
    349,345x = 524,017.50 × 86,689
  4. Step 4: Simplify right side
    349,345x = 45,426,553,057.50
  5. Step 5: Solve for x
    x = 45,426,553,057.50/349,345
  6. Step 6: Final answer
    x = 130,033.50

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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.