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Finding the Fourth Proportional to 210,430.48, 315,646.56 and 52,658.48

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Solution

The fourth proportional to 210,430.48, 315,646.56 and 52,658.48 is: 78,987.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,430.48 : 315,646.56 = 52,658.48 : x
  2. Step 2: Convert to fraction form
    210,430.48/315,646.56 = 52,658.48/x
  3. Step 3: Cross multiply
    210,430.48x = 315,646.56 × 52,658.48
  4. Step 4: Simplify right side
    210,430.48x = 16,621,468,066.83
  5. Step 5: Solve for x
    x = 16,621,468,066.83/210,430.48
  6. Step 6: Final answer
    x = 78,987.93

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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.