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Finding the Fourth Proportional to 349,480, 524,220 and 86,824

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Solution

The fourth proportional to 349,480, 524,220 and 86,824 is: 130,236

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,480 : 524,220 = 86,824 : x
  2. Step 2: Convert to fraction form
    349,480/524,220 = 86,824/x
  3. Step 3: Cross multiply
    349,480x = 524,220 × 86,824
  4. Step 4: Simplify right side
    349,480x = 45,514,877,280
  5. Step 5: Solve for x
    x = 45,514,877,280/349,480
  6. Step 6: Final answer
    x = 130,236

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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.