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Finding the Fourth Proportional to 315,739.81, 473,602.92 and 102,507.31

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Solution

The fourth proportional to 315,739.81, 473,602.92 and 102,507.31 is: 153,758.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,739.81 : 473,602.92 = 102,507.31 : x
  2. Step 2: Convert to fraction form
    315,739.81/473,602.92 = 102,507.31/x
  3. Step 3: Cross multiply
    315,739.81x = 473,602.92 × 102,507.31
  4. Step 4: Simplify right side
    315,739.81x = 48,547,761,337.35
  5. Step 5: Solve for x
    x = 48,547,761,337.35/315,739.81
  6. Step 6: Final answer
    x = 153,758.76

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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.