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Finding the Fourth Proportional to 315,300.80, 435,116.32 and 172,064

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Solution

The fourth proportional to 315,300.80, 435,116.32 and 172,064 is: 237,448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,300.80 : 435,116.32 = 172,064 : x
  2. Step 2: Convert to fraction form
    315,300.80/435,116.32 = 172,064/x
  3. Step 3: Cross multiply
    315,300.80x = 435,116.32 × 172,064
  4. Step 4: Simplify right side
    315,300.80x = 74,867,854,484.48
  5. Step 5: Solve for x
    x = 74,867,854,484.48/315,300.80
  6. Step 6: Final answer
    x = 237,448.98

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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.