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Finding the Fourth Proportional to 210,365.96, 315,315.20 and 160,280.93

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Solution

The fourth proportional to 210,365.96, 315,315.20 and 160,280.93 is: 240,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,365.96 : 315,315.20 = 160,280.93 : x
  2. Step 2: Convert to fraction form
    210,365.96/315,315.20 = 160,280.93/x
  3. Step 3: Cross multiply
    210,365.96x = 315,315.20 × 160,280.93
  4. Step 4: Simplify right side
    210,365.96x = 50,539,014,688.13
  5. Step 5: Solve for x
    x = 50,539,014,688.13/210,365.96
  6. Step 6: Final answer
    x = 240,243.32

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1.5x scale

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.