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Finding the Fourth Proportional to 343,054, 473,407.45 and 190,090.86

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Solution

The fourth proportional to 343,054, 473,407.45 and 190,090.86 is: 262,321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,054 : 473,407.45 = 190,090.86 : x
  2. Step 2: Convert to fraction form
    343,054/473,407.45 = 190,090.86/x
  3. Step 3: Cross multiply
    343,054x = 473,407.45 × 190,090.86
  4. Step 4: Simplify right side
    343,054x = 89,990,429,300.91
  5. Step 5: Solve for x
    x = 89,990,429,300.91/343,054
  6. Step 6: Final answer
    x = 262,321.47

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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.