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Finding the Fourth Proportional to 315,420.40, 473,206.04 and 105,060.16

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Solution

The fourth proportional to 315,420.40, 473,206.04 and 105,060.16 is: 157,615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,420.40 : 473,206.04 = 105,060.16 : x
  2. Step 2: Convert to fraction form
    315,420.40/473,206.04 = 105,060.16/x
  3. Step 3: Cross multiply
    315,420.40x = 473,206.04 × 105,060.16
  4. Step 4: Simplify right side
    315,420.40x = 49,715,102,275.37
  5. Step 5: Solve for x
    x = 49,715,102,275.37/315,420.40
  6. Step 6: Final answer
    x = 157,615.37

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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.